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Finding the Fourth Proportional to 32,753.64, 49,124.76 and 10,567.01

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Solution

The fourth proportional to 32,753.64, 49,124.76 and 10,567.01 is: 15,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.64 : 49,124.76 = 10,567.01 : x
  2. Step 2: Convert to fraction form
    32,753.64/49,124.76 = 10,567.01/x
  3. Step 3: Cross multiply
    32,753.64x = 49,124.76 × 10,567.01
  4. Step 4: Simplify right side
    32,753.64x = 519,101,961.55
  5. Step 5: Solve for x
    x = 519,101,961.55/32,753.64
  6. Step 6: Final answer
    x = 15,848.68

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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.