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Finding the Fourth Proportional to 71,574.86, 107,328.95 and 26,564.87

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Solution

The fourth proportional to 71,574.86, 107,328.95 and 26,564.87 is: 39,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.86 : 107,328.95 = 26,564.87 : x
  2. Step 2: Convert to fraction form
    71,574.86/107,328.95 = 26,564.87/x
  3. Step 3: Cross multiply
    71,574.86x = 107,328.95 × 26,564.87
  4. Step 4: Simplify right side
    71,574.86x = 2,851,178,934.52
  5. Step 5: Solve for x
    x = 2,851,178,934.52/71,574.86
  6. Step 6: Final answer
    x = 39,834.92

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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.