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Finding the Fourth Proportional to 83,151.39, 114,746.36 and 47,346.51

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Solution

The fourth proportional to 83,151.39, 114,746.36 and 47,346.51 is: 65,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.39 : 114,746.36 = 47,346.51 : x
  2. Step 2: Convert to fraction form
    83,151.39/114,746.36 = 47,346.51/x
  3. Step 3: Cross multiply
    83,151.39x = 114,746.36 × 47,346.51
  4. Step 4: Simplify right side
    83,151.39x = 5,432,839,444.47
  5. Step 5: Solve for x
    x = 5,432,839,444.47/83,151.39
  6. Step 6: Final answer
    x = 65,336.72

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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.