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Finding the Fourth Proportional to 64,306.84, 96,454.70 and 19,932.60

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Solution

The fourth proportional to 64,306.84, 96,454.70 and 19,932.60 is: 29,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306.84 : 96,454.70 = 19,932.60 : x
  2. Step 2: Convert to fraction form
    64,306.84/96,454.70 = 19,932.60/x
  3. Step 3: Cross multiply
    64,306.84x = 96,454.70 × 19,932.60
  4. Step 4: Simplify right side
    64,306.84x = 1,922,592,953.22
  5. Step 5: Solve for x
    x = 1,922,592,953.22/64,306.84
  6. Step 6: Final answer
    x = 29,897.18

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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.