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Finding the Fourth Proportional to 50,864.70, 70,186.83 and 27,888.47

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Solution

The fourth proportional to 50,864.70, 70,186.83 and 27,888.47 is: 38,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864.70 : 70,186.83 = 27,888.47 : x
  2. Step 2: Convert to fraction form
    50,864.70/70,186.83 = 27,888.47/x
  3. Step 3: Cross multiply
    50,864.70x = 70,186.83 × 27,888.47
  4. Step 4: Simplify right side
    50,864.70x = 1,957,403,478.32
  5. Step 5: Solve for x
    x = 1,957,403,478.32/50,864.70
  6. Step 6: Final answer
    x = 38,482.55

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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.