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Finding the Fourth Proportional to 55,346.66, 83,011.08 and 15,894.80

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Solution

The fourth proportional to 55,346.66, 83,011.08 and 15,894.80 is: 23,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,346.66 : 83,011.08 = 15,894.80 : x
  2. Step 2: Convert to fraction form
    55,346.66/83,011.08 = 15,894.80/x
  3. Step 3: Cross multiply
    55,346.66x = 83,011.08 × 15,894.80
  4. Step 4: Simplify right side
    55,346.66x = 1,319,444,721.91
  5. Step 5: Solve for x
    x = 1,319,444,721.91/55,346.66
  6. Step 6: Final answer
    x = 23,839.64

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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.