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Finding the Fourth Proportional to 59,842.24, 82,582.08 and 34,706.08

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Solution

The fourth proportional to 59,842.24, 82,582.08 and 34,706.08 is: 47,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,842.24 : 82,582.08 = 34,706.08 : x
  2. Step 2: Convert to fraction form
    59,842.24/82,582.08 = 34,706.08/x
  3. Step 3: Cross multiply
    59,842.24x = 82,582.08 × 34,706.08
  4. Step 4: Simplify right side
    59,842.24x = 2,866,100,275.05
  5. Step 5: Solve for x
    x = 2,866,100,275.05/59,842.24
  6. Step 6: Final answer
    x = 47,894.27

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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.