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Finding the Fourth Proportional to 59,817.60, 89,726.40 and 45,820.80

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Solution

The fourth proportional to 59,817.60, 89,726.40 and 45,820.80 is: 68,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817.60 : 89,726.40 = 45,820.80 : x
  2. Step 2: Convert to fraction form
    59,817.60/89,726.40 = 45,820.80/x
  3. Step 3: Cross multiply
    59,817.60x = 89,726.40 × 45,820.80
  4. Step 4: Simplify right side
    59,817.60x = 4,111,335,429.12
  5. Step 5: Solve for x
    x = 4,111,335,429.12/59,817.60
  6. Step 6: Final answer
    x = 68,731.20

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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.