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Finding the Fourth Proportional to 109,034.57, 163,484.89 and 42,397.03

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Solution

The fourth proportional to 109,034.57, 163,484.89 and 42,397.03 is: 63,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,034.57 : 163,484.89 = 42,397.03 : x
  2. Step 2: Convert to fraction form
    109,034.57/163,484.89 = 42,397.03/x
  3. Step 3: Cross multiply
    109,034.57x = 163,484.89 × 42,397.03
  4. Step 4: Simplify right side
    109,034.57x = 6,931,272,975.25
  5. Step 5: Solve for x
    x = 6,931,272,975.25/109,034.57
  6. Step 6: Final answer
    x = 63,569.50

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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.