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Finding the Fourth Proportional to 31,978.14, 44,130.12 and 17,638.52

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Solution

The fourth proportional to 31,978.14, 44,130.12 and 17,638.52 is: 24,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.14 : 44,130.12 = 17,638.52 : x
  2. Step 2: Convert to fraction form
    31,978.14/44,130.12 = 17,638.52/x
  3. Step 3: Cross multiply
    31,978.14x = 44,130.12 × 17,638.52
  4. Step 4: Simplify right side
    31,978.14x = 778,390,114.55
  5. Step 5: Solve for x
    x = 778,390,114.55/31,978.14
  6. Step 6: Final answer
    x = 24,341.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.