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Finding the Fourth Proportional to 42,409.40, 63,614.10 and 14,710.20

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Solution

The fourth proportional to 42,409.40, 63,614.10 and 14,710.20 is: 22,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.40 : 63,614.10 = 14,710.20 : x
  2. Step 2: Convert to fraction form
    42,409.40/63,614.10 = 14,710.20/x
  3. Step 3: Cross multiply
    42,409.40x = 63,614.10 × 14,710.20
  4. Step 4: Simplify right side
    42,409.40x = 935,776,133.82
  5. Step 5: Solve for x
    x = 935,776,133.82/42,409.40
  6. Step 6: Final answer
    x = 22,065.30

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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.