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Finding the Fourth Proportional to 27,045.60, 40,565.02 and 7,325.61

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Solution

The fourth proportional to 27,045.60, 40,565.02 and 7,325.61 is: 10,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045.60 : 40,565.02 = 7,325.61 : x
  2. Step 2: Convert to fraction form
    27,045.60/40,565.02 = 7,325.61/x
  3. Step 3: Cross multiply
    27,045.60x = 40,565.02 × 7,325.61
  4. Step 4: Simplify right side
    27,045.60x = 297,163,516.16
  5. Step 5: Solve for x
    x = 297,163,516.16/27,045.60
  6. Step 6: Final answer
    x = 10,987.50

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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.