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Finding the Fourth Proportional to 96,459.31, 133,114.78 and 53,439.71

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Solution

The fourth proportional to 96,459.31, 133,114.78 and 53,439.71 is: 73,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,459.31 : 133,114.78 = 53,439.71 : x
  2. Step 2: Convert to fraction form
    96,459.31/133,114.78 = 53,439.71/x
  3. Step 3: Cross multiply
    96,459.31x = 133,114.78 × 53,439.71
  4. Step 4: Simplify right side
    96,459.31x = 7,113,615,876.34
  5. Step 5: Solve for x
    x = 7,113,615,876.34/96,459.31
  6. Step 6: Final answer
    x = 73,747.32

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1.5x scale

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.