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Finding the Fourth Proportional to 101,792.98, 152,590.18 and 48,470.64

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Solution

The fourth proportional to 101,792.98, 152,590.18 and 48,470.64 is: 72,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792.98 : 152,590.18 = 48,470.64 : x
  2. Step 2: Convert to fraction form
    101,792.98/152,590.18 = 48,470.64/x
  3. Step 3: Cross multiply
    101,792.98x = 152,590.18 × 48,470.64
  4. Step 4: Simplify right side
    101,792.98x = 7,396,143,682.32
  5. Step 5: Solve for x
    x = 7,396,143,682.32/101,792.98
  6. Step 6: Final answer
    x = 72,658.68

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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.