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Finding the Fourth Proportional to 51,403.44, 70,934.04 and 29,046

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Solution

The fourth proportional to 51,403.44, 70,934.04 and 29,046 is: 40,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,403.44 : 70,934.04 = 29,046 : x
  2. Step 2: Convert to fraction form
    51,403.44/70,934.04 = 29,046/x
  3. Step 3: Cross multiply
    51,403.44x = 70,934.04 × 29,046
  4. Step 4: Simplify right side
    51,403.44x = 2,060,350,125.84
  5. Step 5: Solve for x
    x = 2,060,350,125.84/51,403.44
  6. Step 6: Final answer
    x = 40,081.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.