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Finding the Fourth Proportional to 40,302.86, 55,559.32 and 28,165.66

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Solution

The fourth proportional to 40,302.86, 55,559.32 and 28,165.66 is: 38,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,302.86 : 55,559.32 = 28,165.66 : x
  2. Step 2: Convert to fraction form
    40,302.86/55,559.32 = 28,165.66/x
  3. Step 3: Cross multiply
    40,302.86x = 55,559.32 × 28,165.66
  4. Step 4: Simplify right side
    40,302.86x = 1,564,864,916.95
  5. Step 5: Solve for x
    x = 1,564,864,916.95/40,302.86
  6. Step 6: Final answer
    x = 38,827.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.