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Finding the Fourth Proportional to 52,193.84, 72,046.19 and 30,973.11

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Solution

The fourth proportional to 52,193.84, 72,046.19 and 30,973.11 is: 42,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,193.84 : 72,046.19 = 30,973.11 : x
  2. Step 2: Convert to fraction form
    52,193.84/72,046.19 = 30,973.11/x
  3. Step 3: Cross multiply
    52,193.84x = 72,046.19 × 30,973.11
  4. Step 4: Simplify right side
    52,193.84x = 2,231,494,567.95
  5. Step 5: Solve for x
    x = 2,231,494,567.95/52,193.84
  6. Step 6: Final answer
    x = 42,753.98

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1.5x scale

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.