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Finding the Fourth Proportional to 32,501.70, 48,752.55 and 22,652.10

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Solution

The fourth proportional to 32,501.70, 48,752.55 and 22,652.10 is: 33,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.70 : 48,752.55 = 22,652.10 : x
  2. Step 2: Convert to fraction form
    32,501.70/48,752.55 = 22,652.10/x
  3. Step 3: Cross multiply
    32,501.70x = 48,752.55 × 22,652.10
  4. Step 4: Simplify right side
    32,501.70x = 1,104,347,637.86
  5. Step 5: Solve for x
    x = 1,104,347,637.86/32,501.70
  6. Step 6: Final answer
    x = 33,978.15

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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.