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Finding the Fourth Proportional to 126,502.40, 189,607.52 and 47,566.28

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Solution

The fourth proportional to 126,502.40, 189,607.52 and 47,566.28 is: 71,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,502.40 : 189,607.52 = 47,566.28 : x
  2. Step 2: Convert to fraction form
    126,502.40/189,607.52 = 47,566.28/x
  3. Step 3: Cross multiply
    126,502.40x = 189,607.52 × 47,566.28
  4. Step 4: Simplify right side
    126,502.40x = 9,018,924,386.43
  5. Step 5: Solve for x
    x = 9,018,924,386.43/126,502.40
  6. Step 6: Final answer
    x = 71,294.49

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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.