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Finding the Fourth Proportional to 77,886.40, 116,840.87 and 24,560.28

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Solution

The fourth proportional to 77,886.40, 116,840.87 and 24,560.28 is: 36,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886.40 : 116,840.87 = 24,560.28 : x
  2. Step 2: Convert to fraction form
    77,886.40/116,840.87 = 24,560.28/x
  3. Step 3: Cross multiply
    77,886.40x = 116,840.87 × 24,560.28
  4. Step 4: Simplify right side
    77,886.40x = 2,869,644,482.64
  5. Step 5: Solve for x
    x = 2,869,644,482.64/77,886.40
  6. Step 6: Final answer
    x = 36,843.97

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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.