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Finding the Fourth Proportional to 47,421, 65,441.88 and 30,683.16

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Solution

The fourth proportional to 47,421, 65,441.88 and 30,683.16 is: 42,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,421 : 65,441.88 = 30,683.16 : x
  2. Step 2: Convert to fraction form
    47,421/65,441.88 = 30,683.16/x
  3. Step 3: Cross multiply
    47,421x = 65,441.88 × 30,683.16
  4. Step 4: Simplify right side
    47,421x = 2,007,963,674.74
  5. Step 5: Solve for x
    x = 2,007,963,674.74/47,421
  6. Step 6: Final answer
    x = 42,343.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.