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Finding the Fourth Proportional to 64,123.28, 88,490.12 and 35,829.84

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Solution

The fourth proportional to 64,123.28, 88,490.12 and 35,829.84 is: 49,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,123.28 : 88,490.12 = 35,829.84 : x
  2. Step 2: Convert to fraction form
    64,123.28/88,490.12 = 35,829.84/x
  3. Step 3: Cross multiply
    64,123.28x = 88,490.12 × 35,829.84
  4. Step 4: Simplify right side
    64,123.28x = 3,170,586,841.18
  5. Step 5: Solve for x
    x = 3,170,586,841.18/64,123.28
  6. Step 6: Final answer
    x = 49,445.18

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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.