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Finding the Fourth Proportional to 42,538.30, 63,805.12 and 12,953.66

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Solution

The fourth proportional to 42,538.30, 63,805.12 and 12,953.66 is: 19,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538.30 : 63,805.12 = 12,953.66 : x
  2. Step 2: Convert to fraction form
    42,538.30/63,805.12 = 12,953.66/x
  3. Step 3: Cross multiply
    42,538.30x = 63,805.12 × 12,953.66
  4. Step 4: Simplify right side
    42,538.30x = 826,509,479.33
  5. Step 5: Solve for x
    x = 826,509,479.33/42,538.30
  6. Step 6: Final answer
    x = 19,429.77

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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.