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Finding the Fourth Proportional to 52,080.68, 71,875.76 and 29,423.83

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Solution

The fourth proportional to 52,080.68, 71,875.76 and 29,423.83 is: 40,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.68 : 71,875.76 = 29,423.83 : x
  2. Step 2: Convert to fraction form
    52,080.68/71,875.76 = 29,423.83/x
  3. Step 3: Cross multiply
    52,080.68x = 71,875.76 × 29,423.83
  4. Step 4: Simplify right side
    52,080.68x = 2,114,860,143.36
  5. Step 5: Solve for x
    x = 2,114,860,143.36/52,080.68
  6. Step 6: Final answer
    x = 40,607.39

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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.