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Finding the Fourth Proportional to 86,901, 119,923.38 and 47,157

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Solution

The fourth proportional to 86,901, 119,923.38 and 47,157 is: 65,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,901 : 119,923.38 = 47,157 : x
  2. Step 2: Convert to fraction form
    86,901/119,923.38 = 47,157/x
  3. Step 3: Cross multiply
    86,901x = 119,923.38 × 47,157
  4. Step 4: Simplify right side
    86,901x = 5,655,226,830.66
  5. Step 5: Solve for x
    x = 5,655,226,830.66/86,901
  6. Step 6: Final answer
    x = 65,076.66

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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.