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Finding the Fourth Proportional to 75,085.92, 103,615.14 and 43,259.40

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Solution

The fourth proportional to 75,085.92, 103,615.14 and 43,259.40 is: 59,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085.92 : 103,615.14 = 43,259.40 : x
  2. Step 2: Convert to fraction form
    75,085.92/103,615.14 = 43,259.40/x
  3. Step 3: Cross multiply
    75,085.92x = 103,615.14 × 43,259.40
  4. Step 4: Simplify right side
    75,085.92x = 4,482,328,787.32
  5. Step 5: Solve for x
    x = 4,482,328,787.32/75,085.92
  6. Step 6: Final answer
    x = 59,696.00

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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.