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Finding the Fourth Proportional to 59,509.08, 82,109.70 and 34,344

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Solution

The fourth proportional to 59,509.08, 82,109.70 and 34,344 is: 47,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,509.08 : 82,109.70 = 34,344 : x
  2. Step 2: Convert to fraction form
    59,509.08/82,109.70 = 34,344/x
  3. Step 3: Cross multiply
    59,509.08x = 82,109.70 × 34,344
  4. Step 4: Simplify right side
    59,509.08x = 2,819,975,536.80
  5. Step 5: Solve for x
    x = 2,819,975,536.80/59,509.08
  6. Step 6: Final answer
    x = 47,387.32

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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.