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Finding the Fourth Proportional to 107,077.73, 160,626.51 and 35,031.04

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Solution

The fourth proportional to 107,077.73, 160,626.51 and 35,031.04 is: 52,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,077.73 : 160,626.51 = 35,031.04 : x
  2. Step 2: Convert to fraction form
    107,077.73/160,626.51 = 35,031.04/x
  3. Step 3: Cross multiply
    107,077.73x = 160,626.51 × 35,031.04
  4. Step 4: Simplify right side
    107,077.73x = 5,626,913,482.14
  5. Step 5: Solve for x
    x = 5,626,913,482.14/107,077.73
  6. Step 6: Final answer
    x = 52,549.80

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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.