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Finding the Fourth Proportional to 59,530.72, 89,296.32 and 20,088

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Solution

The fourth proportional to 59,530.72, 89,296.32 and 20,088 is: 30,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,530.72 : 89,296.32 = 20,088 : x
  2. Step 2: Convert to fraction form
    59,530.72/89,296.32 = 20,088/x
  3. Step 3: Cross multiply
    59,530.72x = 89,296.32 × 20,088
  4. Step 4: Simplify right side
    59,530.72x = 1,793,784,476.16
  5. Step 5: Solve for x
    x = 1,793,784,476.16/59,530.72
  6. Step 6: Final answer
    x = 30,132.08

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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.