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Finding the Fourth Proportional to 127,913.16, 191,854.98 and 34,411.56

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Solution

The fourth proportional to 127,913.16, 191,854.98 and 34,411.56 is: 51,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,913.16 : 191,854.98 = 34,411.56 : x
  2. Step 2: Convert to fraction form
    127,913.16/191,854.98 = 34,411.56/x
  3. Step 3: Cross multiply
    127,913.16x = 191,854.98 × 34,411.56
  4. Step 4: Simplify right side
    127,913.16x = 6,602,029,155.57
  5. Step 5: Solve for x
    x = 6,602,029,155.57/127,913.16
  6. Step 6: Final answer
    x = 51,613.37

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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.