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Finding the Fourth Proportional to 42,354.86, 63,538.15 and 14,282.95

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Solution

The fourth proportional to 42,354.86, 63,538.15 and 14,282.95 is: 21,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,354.86 : 63,538.15 = 14,282.95 : x
  2. Step 2: Convert to fraction form
    42,354.86/63,538.15 = 14,282.95/x
  3. Step 3: Cross multiply
    42,354.86x = 63,538.15 × 14,282.95
  4. Step 4: Simplify right side
    42,354.86x = 907,512,219.54
  5. Step 5: Solve for x
    x = 907,512,219.54/42,354.86
  6. Step 6: Final answer
    x = 21,426.40

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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.