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Finding the Fourth Proportional to 102,762.35, 154,050.10 and 39,542.15

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Solution

The fourth proportional to 102,762.35, 154,050.10 and 39,542.15 is: 59,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762.35 : 154,050.10 = 39,542.15 : x
  2. Step 2: Convert to fraction form
    102,762.35/154,050.10 = 39,542.15/x
  3. Step 3: Cross multiply
    102,762.35x = 154,050.10 × 39,542.15
  4. Step 4: Simplify right side
    102,762.35x = 6,091,472,161.72
  5. Step 5: Solve for x
    x = 6,091,472,161.72/102,762.35
  6. Step 6: Final answer
    x = 59,277.28

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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.