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Finding the Fourth Proportional to 105,052.80, 157,557.94 and 38,470.19

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Solution

The fourth proportional to 105,052.80, 157,557.94 and 38,470.19 is: 57,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052.80 : 157,557.94 = 38,470.19 : x
  2. Step 2: Convert to fraction form
    105,052.80/157,557.94 = 38,470.19/x
  3. Step 3: Cross multiply
    105,052.80x = 157,557.94 × 38,470.19
  4. Step 4: Simplify right side
    105,052.80x = 6,061,283,887.81
  5. Step 5: Solve for x
    x = 6,061,283,887.81/105,052.80
  6. Step 6: Final answer
    x = 57,697.50

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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.