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Finding the Fourth Proportional to 32,578, 44,937.14 and 25,012.80

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Solution

The fourth proportional to 32,578, 44,937.14 and 25,012.80 is: 34,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578 : 44,937.14 = 25,012.80 : x
  2. Step 2: Convert to fraction form
    32,578/44,937.14 = 25,012.80/x
  3. Step 3: Cross multiply
    32,578x = 44,937.14 × 25,012.80
  4. Step 4: Simplify right side
    32,578x = 1,124,003,695.39
  5. Step 5: Solve for x
    x = 1,124,003,695.39/32,578
  6. Step 6: Final answer
    x = 34,501.92

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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.