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Finding the Fourth Proportional to 27,062.48, 40,585.08 and 8,590.16

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Solution

The fourth proportional to 27,062.48, 40,585.08 and 8,590.16 is: 12,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,062.48 : 40,585.08 = 8,590.16 : x
  2. Step 2: Convert to fraction form
    27,062.48/40,585.08 = 8,590.16/x
  3. Step 3: Cross multiply
    27,062.48x = 40,585.08 × 8,590.16
  4. Step 4: Simplify right side
    27,062.48x = 348,632,330.81
  5. Step 5: Solve for x
    x = 348,632,330.81/27,062.48
  6. Step 6: Final answer
    x = 12,882.50

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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.