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Finding the Fourth Proportional to 67,564, 93,244.08 and 37,761.76

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Solution

The fourth proportional to 67,564, 93,244.08 and 37,761.76 is: 52,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,564 : 93,244.08 = 37,761.76 : x
  2. Step 2: Convert to fraction form
    67,564/93,244.08 = 37,761.76/x
  3. Step 3: Cross multiply
    67,564x = 93,244.08 × 37,761.76
  4. Step 4: Simplify right side
    67,564x = 3,521,060,570.38
  5. Step 5: Solve for x
    x = 3,521,060,570.38/67,564
  6. Step 6: Final answer
    x = 52,114.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.