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Finding the Fourth Proportional to 101,465.70, 152,032.31 and 54,030.42

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Solution

The fourth proportional to 101,465.70, 152,032.31 and 54,030.42 is: 80,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,465.70 : 152,032.31 = 54,030.42 : x
  2. Step 2: Convert to fraction form
    101,465.70/152,032.31 = 54,030.42/x
  3. Step 3: Cross multiply
    101,465.70x = 152,032.31 × 54,030.42
  4. Step 4: Simplify right side
    101,465.70x = 8,214,369,292.72
  5. Step 5: Solve for x
    x = 8,214,369,292.72/101,465.70
  6. Step 6: Final answer
    x = 80,957.10

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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.