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Finding the Fourth Proportional to 32,501, 44,851.38 and 17,597

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Solution

The fourth proportional to 32,501, 44,851.38 and 17,597 is: 24,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501 : 44,851.38 = 17,597 : x
  2. Step 2: Convert to fraction form
    32,501/44,851.38 = 17,597/x
  3. Step 3: Cross multiply
    32,501x = 44,851.38 × 17,597
  4. Step 4: Simplify right side
    32,501x = 789,249,733.86
  5. Step 5: Solve for x
    x = 789,249,733.86/32,501
  6. Step 6: Final answer
    x = 24,283.86

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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.