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Finding the Fourth Proportional to 65,723.40, 98,599.54 and 21,354.84

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Solution

The fourth proportional to 65,723.40, 98,599.54 and 21,354.84 is: 32,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723.40 : 98,599.54 = 21,354.84 : x
  2. Step 2: Convert to fraction form
    65,723.40/98,599.54 = 21,354.84/x
  3. Step 3: Cross multiply
    65,723.40x = 98,599.54 × 21,354.84
  4. Step 4: Simplify right side
    65,723.40x = 2,105,577,400.77
  5. Step 5: Solve for x
    x = 2,105,577,400.77/65,723.40
  6. Step 6: Final answer
    x = 32,036.95

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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.