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Finding the Fourth Proportional to 42,356.25, 63,534.38 and 14,654.25

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Solution

The fourth proportional to 42,356.25, 63,534.38 and 14,654.25 is: 21,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,356.25 : 63,534.38 = 14,654.25 : x
  2. Step 2: Convert to fraction form
    42,356.25/63,534.38 = 14,654.25/x
  3. Step 3: Cross multiply
    42,356.25x = 63,534.38 × 14,654.25
  4. Step 4: Simplify right side
    42,356.25x = 931,048,614.84
  5. Step 5: Solve for x
    x = 931,048,614.84/42,356.25
  6. Step 6: Final answer
    x = 21,981.38

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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.