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Finding the Fourth Proportional to 70,918.74, 106,509.06 and 47,561.58

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Solution

The fourth proportional to 70,918.74, 106,509.06 and 47,561.58 is: 71,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,918.74 : 106,509.06 = 47,561.58 : x
  2. Step 2: Convert to fraction form
    70,918.74/106,509.06 = 47,561.58/x
  3. Step 3: Cross multiply
    70,918.74x = 106,509.06 × 47,561.58
  4. Step 4: Simplify right side
    70,918.74x = 5,065,739,177.91
  5. Step 5: Solve for x
    x = 5,065,739,177.91/70,918.74
  6. Step 6: Final answer
    x = 71,430.19

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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.