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Finding the Fourth Proportional to 97,889.76, 146,815.20 and 47,948.40

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Solution

The fourth proportional to 97,889.76, 146,815.20 and 47,948.40 is: 71,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,889.76 : 146,815.20 = 47,948.40 : x
  2. Step 2: Convert to fraction form
    97,889.76/146,815.20 = 47,948.40/x
  3. Step 3: Cross multiply
    97,889.76x = 146,815.20 × 47,948.40
  4. Step 4: Simplify right side
    97,889.76x = 7,039,553,935.68
  5. Step 5: Solve for x
    x = 7,039,553,935.68/97,889.76
  6. Step 6: Final answer
    x = 71,913.08

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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.