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Finding the Fourth Proportional to 70,658.16, 105,888.80 and 53,107.52

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Solution

The fourth proportional to 70,658.16, 105,888.80 and 53,107.52 is: 79,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658.16 : 105,888.80 = 53,107.52 : x
  2. Step 2: Convert to fraction form
    70,658.16/105,888.80 = 53,107.52/x
  3. Step 3: Cross multiply
    70,658.16x = 105,888.80 × 53,107.52
  4. Step 4: Simplify right side
    70,658.16x = 5,623,491,563.78
  5. Step 5: Solve for x
    x = 5,623,491,563.78/70,658.16
  6. Step 6: Final answer
    x = 79,587.29

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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.