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Finding the Fourth Proportional to 32,410, 44,725.80 and 17,506

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Solution

The fourth proportional to 32,410, 44,725.80 and 17,506 is: 24,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410 : 44,725.80 = 17,506 : x
  2. Step 2: Convert to fraction form
    32,410/44,725.80 = 17,506/x
  3. Step 3: Cross multiply
    32,410x = 44,725.80 × 17,506
  4. Step 4: Simplify right side
    32,410x = 782,969,854.80
  5. Step 5: Solve for x
    x = 782,969,854.80/32,410
  6. Step 6: Final answer
    x = 24,158.28

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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.