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Finding the Fourth Proportional to 30,109.37, 45,130.22 and 14,301.46

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Solution

The fourth proportional to 30,109.37, 45,130.22 and 14,301.46 is: 21,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.37 : 45,130.22 = 14,301.46 : x
  2. Step 2: Convert to fraction form
    30,109.37/45,130.22 = 14,301.46/x
  3. Step 3: Cross multiply
    30,109.37x = 45,130.22 × 14,301.46
  4. Step 4: Simplify right side
    30,109.37x = 645,428,074.66
  5. Step 5: Solve for x
    x = 645,428,074.66/30,109.37
  6. Step 6: Final answer
    x = 21,436.12

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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.