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Finding the Fourth Proportional to 94,698.68, 142,129.56 and 38,570

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Solution

The fourth proportional to 94,698.68, 142,129.56 and 38,570 is: 57,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,698.68 : 142,129.56 = 38,570 : x
  2. Step 2: Convert to fraction form
    94,698.68/142,129.56 = 38,570/x
  3. Step 3: Cross multiply
    94,698.68x = 142,129.56 × 38,570
  4. Step 4: Simplify right side
    94,698.68x = 5,481,937,129.20
  5. Step 5: Solve for x
    x = 5,481,937,129.20/94,698.68
  6. Step 6: Final answer
    x = 57,888.21

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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.