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Finding the Fourth Proportional to 132,030, 198,046.62 and 48,924

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Solution

The fourth proportional to 132,030, 198,046.62 and 48,924 is: 73,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 198,046.62 = 48,924 : x
  2. Step 2: Convert to fraction form
    132,030/198,046.62 = 48,924/x
  3. Step 3: Cross multiply
    132,030x = 198,046.62 × 48,924
  4. Step 4: Simplify right side
    132,030x = 9,689,232,836.88
  5. Step 5: Solve for x
    x = 9,689,232,836.88/132,030
  6. Step 6: Final answer
    x = 73,386.60

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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.