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Finding the Fourth Proportional to 75,235.70, 103,824.93 and 41,701.70

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Solution

The fourth proportional to 75,235.70, 103,824.93 and 41,701.70 is: 57,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,235.70 : 103,824.93 = 41,701.70 : x
  2. Step 2: Convert to fraction form
    75,235.70/103,824.93 = 41,701.70/x
  3. Step 3: Cross multiply
    75,235.70x = 103,824.93 × 41,701.70
  4. Step 4: Simplify right side
    75,235.70x = 4,329,676,083.38
  5. Step 5: Solve for x
    x = 4,329,676,083.38/75,235.70
  6. Step 6: Final answer
    x = 57,548.16

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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.