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Finding the Fourth Proportional to 32,652.01, 48,978.02 and 9,275.41

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Solution

The fourth proportional to 32,652.01, 48,978.02 and 9,275.41 is: 13,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.01 : 48,978.02 = 9,275.41 : x
  2. Step 2: Convert to fraction form
    32,652.01/48,978.02 = 9,275.41/x
  3. Step 3: Cross multiply
    32,652.01x = 48,978.02 × 9,275.41
  4. Step 4: Simplify right side
    32,652.01x = 454,291,216.49
  5. Step 5: Solve for x
    x = 454,291,216.49/32,652.01
  6. Step 6: Final answer
    x = 13,913.12

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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.