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Finding the Fourth Proportional to 51,154.77, 70,597.13 and 31,012.50

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Solution

The fourth proportional to 51,154.77, 70,597.13 and 31,012.50 is: 42,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,154.77 : 70,597.13 = 31,012.50 : x
  2. Step 2: Convert to fraction form
    51,154.77/70,597.13 = 31,012.50/x
  3. Step 3: Cross multiply
    51,154.77x = 70,597.13 × 31,012.50
  4. Step 4: Simplify right side
    51,154.77x = 2,189,393,339.06
  5. Step 5: Solve for x
    x = 2,189,393,339.06/51,154.77
  6. Step 6: Final answer
    x = 42,799.40

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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.