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Finding the Fourth Proportional to 69,095.86, 103,104.91 and 61,649.14

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Solution

The fourth proportional to 69,095.86, 103,104.91 and 61,649.14 is: 91,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.86 : 103,104.91 = 61,649.14 : x
  2. Step 2: Convert to fraction form
    69,095.86/103,104.91 = 61,649.14/x
  3. Step 3: Cross multiply
    69,095.86x = 103,104.91 × 61,649.14
  4. Step 4: Simplify right side
    69,095.86x = 6,356,329,031.28
  5. Step 5: Solve for x
    x = 6,356,329,031.28/69,095.86
  6. Step 6: Final answer
    x = 91,992.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.