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Finding the Fourth Proportional to 56,452.34, 77,903.56 and 32,578.50

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Solution

The fourth proportional to 56,452.34, 77,903.56 and 32,578.50 is: 44,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,452.34 : 77,903.56 = 32,578.50 : x
  2. Step 2: Convert to fraction form
    56,452.34/77,903.56 = 32,578.50/x
  3. Step 3: Cross multiply
    56,452.34x = 77,903.56 × 32,578.50
  4. Step 4: Simplify right side
    56,452.34x = 2,537,981,129.46
  5. Step 5: Solve for x
    x = 2,537,981,129.46/56,452.34
  6. Step 6: Final answer
    x = 44,957.94

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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.