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Finding the Fourth Proportional to 51,206.80, 70,668.12 and 29,987.68

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Solution

The fourth proportional to 51,206.80, 70,668.12 and 29,987.68 is: 41,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.80 : 70,668.12 = 29,987.68 : x
  2. Step 2: Convert to fraction form
    51,206.80/70,668.12 = 29,987.68/x
  3. Step 3: Cross multiply
    51,206.80x = 70,668.12 × 29,987.68
  4. Step 4: Simplify right side
    51,206.80x = 2,119,172,968.76
  5. Step 5: Solve for x
    x = 2,119,172,968.76/51,206.80
  6. Step 6: Final answer
    x = 41,384.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.