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Finding the Fourth Proportional to 31,133.76, 42,970.24 and 18,386.24

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Solution

The fourth proportional to 31,133.76, 42,970.24 and 18,386.24 is: 25,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.76 : 42,970.24 = 18,386.24 : x
  2. Step 2: Convert to fraction form
    31,133.76/42,970.24 = 18,386.24/x
  3. Step 3: Cross multiply
    31,133.76x = 42,970.24 × 18,386.24
  4. Step 4: Simplify right side
    31,133.76x = 790,061,145.50
  5. Step 5: Solve for x
    x = 790,061,145.50/31,133.76
  6. Step 6: Final answer
    x = 25,376.35

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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.