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Finding the Fourth Proportional to 59,512.60, 89,096.10 and 57,784.60

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Solution

The fourth proportional to 59,512.60, 89,096.10 and 57,784.60 is: 86,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512.60 : 89,096.10 = 57,784.60 : x
  2. Step 2: Convert to fraction form
    59,512.60/89,096.10 = 57,784.60/x
  3. Step 3: Cross multiply
    59,512.60x = 89,096.10 × 57,784.60
  4. Step 4: Simplify right side
    59,512.60x = 5,148,382,500.06
  5. Step 5: Solve for x
    x = 5,148,382,500.06/59,512.60
  6. Step 6: Final answer
    x = 86,509.12

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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.