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Finding the Fourth Proportional to 71,305.16, 106,973.93 and 38,007.68

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Solution

The fourth proportional to 71,305.16, 106,973.93 and 38,007.68 is: 57,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.16 : 106,973.93 = 38,007.68 : x
  2. Step 2: Convert to fraction form
    71,305.16/106,973.93 = 38,007.68/x
  3. Step 3: Cross multiply
    71,305.16x = 106,973.93 × 38,007.68
  4. Step 4: Simplify right side
    71,305.16x = 4,065,830,459.93
  5. Step 5: Solve for x
    x = 4,065,830,459.93/71,305.16
  6. Step 6: Final answer
    x = 57,020.15

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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.