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Finding the Fourth Proportional to 51,159.17, 70,602.90 and 31,017.98

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Solution

The fourth proportional to 51,159.17, 70,602.90 and 31,017.98 is: 42,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,159.17 : 70,602.90 = 31,017.98 : x
  2. Step 2: Convert to fraction form
    51,159.17/70,602.90 = 31,017.98/x
  3. Step 3: Cross multiply
    51,159.17x = 70,602.90 × 31,017.98
  4. Step 4: Simplify right side
    51,159.17x = 2,189,959,340.14
  5. Step 5: Solve for x
    x = 2,189,959,340.14/51,159.17
  6. Step 6: Final answer
    x = 42,806.78

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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.