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Finding the Fourth Proportional to 51,306.39, 70,783.34 and 31,155.66

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Solution

The fourth proportional to 51,306.39, 70,783.34 and 31,155.66 is: 42,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,306.39 : 70,783.34 = 31,155.66 : x
  2. Step 2: Convert to fraction form
    51,306.39/70,783.34 = 31,155.66/x
  3. Step 3: Cross multiply
    51,306.39x = 70,783.34 × 31,155.66
  4. Step 4: Simplify right side
    51,306.39x = 2,205,301,518.93
  5. Step 5: Solve for x
    x = 2,205,301,518.93/51,306.39
  6. Step 6: Final answer
    x = 42,982.98

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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.