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Finding the Fourth Proportional to 77,442.66, 106,875.18 and 43,461.90

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Solution

The fourth proportional to 77,442.66, 106,875.18 and 43,461.90 is: 59,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442.66 : 106,875.18 = 43,461.90 : x
  2. Step 2: Convert to fraction form
    77,442.66/106,875.18 = 43,461.90/x
  3. Step 3: Cross multiply
    77,442.66x = 106,875.18 × 43,461.90
  4. Step 4: Simplify right side
    77,442.66x = 4,644,998,385.64
  5. Step 5: Solve for x
    x = 4,644,998,385.64/77,442.66
  6. Step 6: Final answer
    x = 59,979.84

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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.