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Finding the Fourth Proportional to 85,302.95, 127,970.82 and 32,708.33

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Solution

The fourth proportional to 85,302.95, 127,970.82 and 32,708.33 is: 49,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302.95 : 127,970.82 = 32,708.33 : x
  2. Step 2: Convert to fraction form
    85,302.95/127,970.82 = 32,708.33/x
  3. Step 3: Cross multiply
    85,302.95x = 127,970.82 × 32,708.33
  4. Step 4: Simplify right side
    85,302.95x = 4,185,711,810.93
  5. Step 5: Solve for x
    x = 4,185,711,810.93/85,302.95
  6. Step 6: Final answer
    x = 49,068.78

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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.