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Finding the Fourth Proportional to 83,152.39, 114,747.74 and 47,347.51

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Solution

The fourth proportional to 83,152.39, 114,747.74 and 47,347.51 is: 65,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152.39 : 114,747.74 = 47,347.51 : x
  2. Step 2: Convert to fraction form
    83,152.39/114,747.74 = 47,347.51/x
  3. Step 3: Cross multiply
    83,152.39x = 114,747.74 × 47,347.51
  4. Step 4: Simplify right side
    83,152.39x = 5,433,019,530.39
  5. Step 5: Solve for x
    x = 5,433,019,530.39/83,152.39
  6. Step 6: Final answer
    x = 65,338.10

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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.