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Finding the Fourth Proportional to 117,462.32, 162,097.44 and 63,747.76

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Solution

The fourth proportional to 117,462.32, 162,097.44 and 63,747.76 is: 87,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,462.32 : 162,097.44 = 63,747.76 : x
  2. Step 2: Convert to fraction form
    117,462.32/162,097.44 = 63,747.76/x
  3. Step 3: Cross multiply
    117,462.32x = 162,097.44 × 63,747.76
  4. Step 4: Simplify right side
    117,462.32x = 10,333,348,701.73
  5. Step 5: Solve for x
    x = 10,333,348,701.73/117,462.32
  6. Step 6: Final answer
    x = 87,971.60

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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.