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Finding the Fourth Proportional to 92,578.23, 138,867.80 and 22,457.52

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Solution

The fourth proportional to 92,578.23, 138,867.80 and 22,457.52 is: 33,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,578.23 : 138,867.80 = 22,457.52 : x
  2. Step 2: Convert to fraction form
    92,578.23/138,867.80 = 22,457.52/x
  3. Step 3: Cross multiply
    92,578.23x = 138,867.80 × 22,457.52
  4. Step 4: Simplify right side
    92,578.23x = 3,118,626,395.86
  5. Step 5: Solve for x
    x = 3,118,626,395.86/92,578.23
  6. Step 6: Final answer
    x = 33,686.39

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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.