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Finding the Fourth Proportional to 32,753.60, 49,130.63 and 14,017.85

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Solution

The fourth proportional to 32,753.60, 49,130.63 and 14,017.85 is: 21,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.60 : 49,130.63 = 14,017.85 : x
  2. Step 2: Convert to fraction form
    32,753.60/49,130.63 = 14,017.85/x
  3. Step 3: Cross multiply
    32,753.60x = 49,130.63 × 14,017.85
  4. Step 4: Simplify right side
    32,753.60x = 688,705,801.75
  5. Step 5: Solve for x
    x = 688,705,801.75/32,753.60
  6. Step 6: Final answer
    x = 21,026.87

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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.