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Finding the Fourth Proportional to 59,323.12, 81,858 and 34,167.76

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Solution

The fourth proportional to 59,323.12, 81,858 and 34,167.76 is: 47,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,323.12 : 81,858 = 34,167.76 : x
  2. Step 2: Convert to fraction form
    59,323.12/81,858 = 34,167.76/x
  3. Step 3: Cross multiply
    59,323.12x = 81,858 × 34,167.76
  4. Step 4: Simplify right side
    59,323.12x = 2,796,904,498.08
  5. Step 5: Solve for x
    x = 2,796,904,498.08/59,323.12
  6. Step 6: Final answer
    x = 47,146.96

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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.