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Finding the Fourth Proportional to 85,340.76, 127,915.76 and 31,981.40

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Solution

The fourth proportional to 85,340.76, 127,915.76 and 31,981.40 is: 47,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.76 : 127,915.76 = 31,981.40 : x
  2. Step 2: Convert to fraction form
    85,340.76/127,915.76 = 31,981.40/x
  3. Step 3: Cross multiply
    85,340.76x = 127,915.76 × 31,981.40
  4. Step 4: Simplify right side
    85,340.76x = 4,090,924,287.38
  5. Step 5: Solve for x
    x = 4,090,924,287.38/85,340.76
  6. Step 6: Final answer
    x = 47,936.35

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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.