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Finding the Fourth Proportional to 75,047.46, 103,555.35 and 42,786.24

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Solution

The fourth proportional to 75,047.46, 103,555.35 and 42,786.24 is: 59,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,047.46 : 103,555.35 = 42,786.24 : x
  2. Step 2: Convert to fraction form
    75,047.46/103,555.35 = 42,786.24/x
  3. Step 3: Cross multiply
    75,047.46x = 103,555.35 × 42,786.24
  4. Step 4: Simplify right side
    75,047.46x = 4,430,744,058.38
  5. Step 5: Solve for x
    x = 4,430,744,058.38/75,047.46
  6. Step 6: Final answer
    x = 59,039.23

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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.