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Finding the Fourth Proportional to 59,509.20, 89,200.80 and 22,045.20

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Solution

The fourth proportional to 59,509.20, 89,200.80 and 22,045.20 is: 33,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,509.20 : 89,200.80 = 22,045.20 : x
  2. Step 2: Convert to fraction form
    59,509.20/89,200.80 = 22,045.20/x
  3. Step 3: Cross multiply
    59,509.20x = 89,200.80 × 22,045.20
  4. Step 4: Simplify right side
    59,509.20x = 1,966,449,476.16
  5. Step 5: Solve for x
    x = 1,966,449,476.16/59,509.20
  6. Step 6: Final answer
    x = 33,044.46

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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.