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Finding the Fourth Proportional to 53,691.76, 74,097.84 and 31,034.80

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Solution

The fourth proportional to 53,691.76, 74,097.84 and 31,034.80 is: 42,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.76 : 74,097.84 = 31,034.80 : x
  2. Step 2: Convert to fraction form
    53,691.76/74,097.84 = 31,034.80/x
  3. Step 3: Cross multiply
    53,691.76x = 74,097.84 × 31,034.80
  4. Step 4: Simplify right side
    53,691.76x = 2,299,611,644.83
  5. Step 5: Solve for x
    x = 2,299,611,644.83/53,691.76
  6. Step 6: Final answer
    x = 42,829.88

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1.5x scale

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.