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Finding the Fourth Proportional to 83,152.29, 114,746.04 and 47,338.95

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Solution

The fourth proportional to 83,152.29, 114,746.04 and 47,338.95 is: 65,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152.29 : 114,746.04 = 47,338.95 : x
  2. Step 2: Convert to fraction form
    83,152.29/114,746.04 = 47,338.95/x
  3. Step 3: Cross multiply
    83,152.29x = 114,746.04 × 47,338.95
  4. Step 4: Simplify right side
    83,152.29x = 5,431,957,050.26
  5. Step 5: Solve for x
    x = 5,431,957,050.26/83,152.29
  6. Step 6: Final answer
    x = 65,325.41

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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.