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Finding the Fourth Proportional to 46,677.50, 69,866.40 and 24,459.20

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Solution

The fourth proportional to 46,677.50, 69,866.40 and 24,459.20 is: 36,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.50 : 69,866.40 = 24,459.20 : x
  2. Step 2: Convert to fraction form
    46,677.50/69,866.40 = 24,459.20/x
  3. Step 3: Cross multiply
    46,677.50x = 69,866.40 × 24,459.20
  4. Step 4: Simplify right side
    46,677.50x = 1,708,876,250.88
  5. Step 5: Solve for x
    x = 1,708,876,250.88/46,677.50
  6. Step 6: Final answer
    x = 36,610.28

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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.