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Finding the Fourth Proportional to 92,097.71, 127,102.20 and 51,809.08

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Solution

The fourth proportional to 92,097.71, 127,102.20 and 51,809.08 is: 71,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097.71 : 127,102.20 = 51,809.08 : x
  2. Step 2: Convert to fraction form
    92,097.71/127,102.20 = 51,809.08/x
  3. Step 3: Cross multiply
    92,097.71x = 127,102.20 × 51,809.08
  4. Step 4: Simplify right side
    92,097.71x = 6,585,047,412.47
  5. Step 5: Solve for x
    x = 6,585,047,412.47/92,097.71
  6. Step 6: Final answer
    x = 71,500.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.