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Finding the Fourth Proportional to 35,565.16, 49,023.20 and 27,999.50

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Solution

The fourth proportional to 35,565.16, 49,023.20 and 27,999.50 is: 38,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,565.16 : 49,023.20 = 27,999.50 : x
  2. Step 2: Convert to fraction form
    35,565.16/49,023.20 = 27,999.50/x
  3. Step 3: Cross multiply
    35,565.16x = 49,023.20 × 27,999.50
  4. Step 4: Simplify right side
    35,565.16x = 1,372,625,088.40
  5. Step 5: Solve for x
    x = 1,372,625,088.40/35,565.16
  6. Step 6: Final answer
    x = 38,594.66

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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.