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Finding the Fourth Proportional to 40,842.80, 61,264.20 and 14,577.20

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Solution

The fourth proportional to 40,842.80, 61,264.20 and 14,577.20 is: 21,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.80 : 61,264.20 = 14,577.20 : x
  2. Step 2: Convert to fraction form
    40,842.80/61,264.20 = 14,577.20/x
  3. Step 3: Cross multiply
    40,842.80x = 61,264.20 × 14,577.20
  4. Step 4: Simplify right side
    40,842.80x = 893,060,496.24
  5. Step 5: Solve for x
    x = 893,060,496.24/40,842.80
  6. Step 6: Final answer
    x = 21,865.80

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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.