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Finding the Fourth Proportional to 35,117.26, 52,668.07 and 10,151.84

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Solution

The fourth proportional to 35,117.26, 52,668.07 and 10,151.84 is: 15,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,117.26 : 52,668.07 = 10,151.84 : x
  2. Step 2: Convert to fraction form
    35,117.26/52,668.07 = 10,151.84/x
  3. Step 3: Cross multiply
    35,117.26x = 52,668.07 × 10,151.84
  4. Step 4: Simplify right side
    35,117.26x = 534,677,819.75
  5. Step 5: Solve for x
    x = 534,677,819.75/35,117.26
  6. Step 6: Final answer
    x = 15,225.50

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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.