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Finding the Fourth Proportional to 107,075, 160,496.52 and 47,829.08

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Solution

The fourth proportional to 107,075, 160,496.52 and 47,829.08 is: 71,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,075 : 160,496.52 = 47,829.08 : x
  2. Step 2: Convert to fraction form
    107,075/160,496.52 = 47,829.08/x
  3. Step 3: Cross multiply
    107,075x = 160,496.52 × 47,829.08
  4. Step 4: Simplify right side
    107,075x = 7,676,400,894.80
  5. Step 5: Solve for x
    x = 7,676,400,894.80/107,075
  6. Step 6: Final answer
    x = 71,691.81

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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.