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Finding the Fourth Proportional to 102,023.70, 153,035.55 and 39,694.20

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Solution

The fourth proportional to 102,023.70, 153,035.55 and 39,694.20 is: 59,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.70 : 153,035.55 = 39,694.20 : x
  2. Step 2: Convert to fraction form
    102,023.70/153,035.55 = 39,694.20/x
  3. Step 3: Cross multiply
    102,023.70x = 153,035.55 × 39,694.20
  4. Step 4: Simplify right side
    102,023.70x = 6,074,623,728.81
  5. Step 5: Solve for x
    x = 6,074,623,728.81/102,023.70
  6. Step 6: Final answer
    x = 59,541.30

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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.