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Finding the Fourth Proportional to 77,264.52, 115,948.71 and 27,344.40

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Solution

The fourth proportional to 77,264.52, 115,948.71 and 27,344.40 is: 41,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264.52 : 115,948.71 = 27,344.40 : x
  2. Step 2: Convert to fraction form
    77,264.52/115,948.71 = 27,344.40/x
  3. Step 3: Cross multiply
    77,264.52x = 115,948.71 × 27,344.40
  4. Step 4: Simplify right side
    77,264.52x = 3,170,547,905.72
  5. Step 5: Solve for x
    x = 3,170,547,905.72/77,264.52
  6. Step 6: Final answer
    x = 41,034.98

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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.