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Finding the Fourth Proportional to 107,046.70, 160,521.45 and 40,464.70

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Solution

The fourth proportional to 107,046.70, 160,521.45 and 40,464.70 is: 60,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,046.70 : 160,521.45 = 40,464.70 : x
  2. Step 2: Convert to fraction form
    107,046.70/160,521.45 = 40,464.70/x
  3. Step 3: Cross multiply
    107,046.70x = 160,521.45 × 40,464.70
  4. Step 4: Simplify right side
    107,046.70x = 6,495,452,317.82
  5. Step 5: Solve for x
    x = 6,495,452,317.82/107,046.70
  6. Step 6: Final answer
    x = 60,678.68

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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.