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Finding the Fourth Proportional to 92,578.24, 138,901.95 and 36,457.48

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Solution

The fourth proportional to 92,578.24, 138,901.95 and 36,457.48 is: 54,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,578.24 : 138,901.95 = 36,457.48 : x
  2. Step 2: Convert to fraction form
    92,578.24/138,901.95 = 36,457.48/x
  3. Step 3: Cross multiply
    92,578.24x = 138,901.95 × 36,457.48
  4. Step 4: Simplify right side
    92,578.24x = 5,064,014,369.58
  5. Step 5: Solve for x
    x = 5,064,014,369.58/92,578.24
  6. Step 6: Final answer
    x = 54,699.83

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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.