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Finding the Fourth Proportional to 132,038.69, 198,073.44 and 47,838.51

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Solution

The fourth proportional to 132,038.69, 198,073.44 and 47,838.51 is: 71,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,038.69 : 198,073.44 = 47,838.51 : x
  2. Step 2: Convert to fraction form
    132,038.69/198,073.44 = 47,838.51/x
  3. Step 3: Cross multiply
    132,038.69x = 198,073.44 × 47,838.51
  4. Step 4: Simplify right side
    132,038.69x = 9,475,538,240.17
  5. Step 5: Solve for x
    x = 9,475,538,240.17/132,038.69
  6. Step 6: Final answer
    x = 71,763.35

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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.