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Finding the Fourth Proportional to 50,970.74, 76,456.10 and 15,913.40

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Solution

The fourth proportional to 50,970.74, 76,456.10 and 15,913.40 is: 23,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,970.74 : 76,456.10 = 15,913.40 : x
  2. Step 2: Convert to fraction form
    50,970.74/76,456.10 = 15,913.40/x
  3. Step 3: Cross multiply
    50,970.74x = 76,456.10 × 15,913.40
  4. Step 4: Simplify right side
    50,970.74x = 1,216,676,159.24
  5. Step 5: Solve for x
    x = 1,216,676,159.24/50,970.74
  6. Step 6: Final answer
    x = 23,870.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.