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Finding the Fourth Proportional to 59,457.48, 89,199.87 and 20,013.54

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Solution

The fourth proportional to 59,457.48, 89,199.87 and 20,013.54 is: 30,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,457.48 : 89,199.87 = 20,013.54 : x
  2. Step 2: Convert to fraction form
    59,457.48/89,199.87 = 20,013.54/x
  3. Step 3: Cross multiply
    59,457.48x = 89,199.87 × 20,013.54
  4. Step 4: Simplify right side
    59,457.48x = 1,785,205,166.24
  5. Step 5: Solve for x
    x = 1,785,205,166.24/59,457.48
  6. Step 6: Final answer
    x = 30,024.90

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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.