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Finding the Fourth Proportional to 65,894.61, 90,932.88 and 36,823.22

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Solution

The fourth proportional to 65,894.61, 90,932.88 and 36,823.22 is: 50,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.61 : 90,932.88 = 36,823.22 : x
  2. Step 2: Convert to fraction form
    65,894.61/90,932.88 = 36,823.22/x
  3. Step 3: Cross multiply
    65,894.61x = 90,932.88 × 36,823.22
  4. Step 4: Simplify right side
    65,894.61x = 3,348,441,672.81
  5. Step 5: Solve for x
    x = 3,348,441,672.81/65,894.61
  6. Step 6: Final answer
    x = 50,815.11

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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.