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Finding the Fourth Proportional to 56,459.80, 77,878.74 and 36,281.96

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Solution

The fourth proportional to 56,459.80, 77,878.74 and 36,281.96 is: 50,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459.80 : 77,878.74 = 36,281.96 : x
  2. Step 2: Convert to fraction form
    56,459.80/77,878.74 = 36,281.96/x
  3. Step 3: Cross multiply
    56,459.80x = 77,878.74 × 36,281.96
  4. Step 4: Simplify right side
    56,459.80x = 2,825,593,329.53
  5. Step 5: Solve for x
    x = 2,825,593,329.53/56,459.80
  6. Step 6: Final answer
    x = 50,046.11

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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.