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Finding the Fourth Proportional to 64,005.62, 88,327.80 and 35,711.30

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Solution

The fourth proportional to 64,005.62, 88,327.80 and 35,711.30 is: 49,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005.62 : 88,327.80 = 35,711.30 : x
  2. Step 2: Convert to fraction form
    64,005.62/88,327.80 = 35,711.30/x
  3. Step 3: Cross multiply
    64,005.62x = 88,327.80 × 35,711.30
  4. Step 4: Simplify right side
    64,005.62x = 3,154,300,564.14
  5. Step 5: Solve for x
    x = 3,154,300,564.14/64,005.62
  6. Step 6: Final answer
    x = 49,281.62

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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.