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Finding the Fourth Proportional to 61,534.84, 92,323.76 and 19,421.44

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Solution

The fourth proportional to 61,534.84, 92,323.76 and 19,421.44 is: 29,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,534.84 : 92,323.76 = 19,421.44 : x
  2. Step 2: Convert to fraction form
    61,534.84/92,323.76 = 19,421.44/x
  3. Step 3: Cross multiply
    61,534.84x = 92,323.76 × 19,421.44
  4. Step 4: Simplify right side
    61,534.84x = 1,793,060,365.41
  5. Step 5: Solve for x
    x = 1,793,060,365.41/61,534.84
  6. Step 6: Final answer
    x = 29,138.95

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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.