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Finding the Fourth Proportional to 31,980.14, 44,130.99 and 17,642.48

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Solution

The fourth proportional to 31,980.14, 44,130.99 and 17,642.48 is: 24,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.14 : 44,130.99 = 17,642.48 : x
  2. Step 2: Convert to fraction form
    31,980.14/44,130.99 = 17,642.48/x
  3. Step 3: Cross multiply
    31,980.14x = 44,130.99 × 17,642.48
  4. Step 4: Simplify right side
    31,980.14x = 778,580,108.46
  5. Step 5: Solve for x
    x = 778,580,108.46/31,980.14
  6. Step 6: Final answer
    x = 24,345.74

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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.