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Finding the Fourth Proportional to 42,765.57, 64,156.07 and 14,678.39

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Solution

The fourth proportional to 42,765.57, 64,156.07 and 14,678.39 is: 22,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765.57 : 64,156.07 = 14,678.39 : x
  2. Step 2: Convert to fraction form
    42,765.57/64,156.07 = 14,678.39/x
  3. Step 3: Cross multiply
    42,765.57x = 64,156.07 × 14,678.39
  4. Step 4: Simplify right side
    42,765.57x = 941,707,422.16
  5. Step 5: Solve for x
    x = 941,707,422.16/42,765.57
  6. Step 6: Final answer
    x = 22,020.22

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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.