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Finding the Fourth Proportional to 42,663.16, 63,994.47 and 22,951

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Solution

The fourth proportional to 42,663.16, 63,994.47 and 22,951 is: 34,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,663.16 : 63,994.47 = 22,951 : x
  2. Step 2: Convert to fraction form
    42,663.16/63,994.47 = 22,951/x
  3. Step 3: Cross multiply
    42,663.16x = 63,994.47 × 22,951
  4. Step 4: Simplify right side
    42,663.16x = 1,468,737,080.97
  5. Step 5: Solve for x
    x = 1,468,737,080.97/42,663.16
  6. Step 6: Final answer
    x = 34,426.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.