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Finding the Fourth Proportional to 38,492,592, 57,738,962.32 and 9,346,308.14

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Solution

The fourth proportional to 38,492,592, 57,738,962.32 and 9,346,308.14 is: 14,019,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492,592 : 57,738,962.32 = 9,346,308.14 : x
  2. Step 2: Convert to fraction form
    38,492,592/57,738,962.32 = 9,346,308.14/x
  3. Step 3: Cross multiply
    38,492,592x = 57,738,962.32 × 9,346,308.14
  4. Step 4: Simplify right side
    38,492,592x = 539,646,133,526,569.31
  5. Step 5: Solve for x
    x = 539,646,133,526,569.31/38,492,592
  6. Step 6: Final answer
    x = 14,019,480.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.