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Finding the Fourth Proportional to 47,007.70, 64,870.60 and 25,787

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Solution

The fourth proportional to 47,007.70, 64,870.60 and 25,787 is: 35,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007.70 : 64,870.60 = 25,787 : x
  2. Step 2: Convert to fraction form
    47,007.70/64,870.60 = 25,787/x
  3. Step 3: Cross multiply
    47,007.70x = 64,870.60 × 25,787
  4. Step 4: Simplify right side
    47,007.70x = 1,672,818,162.20
  5. Step 5: Solve for x
    x = 1,672,818,162.20/47,007.70
  6. Step 6: Final answer
    x = 35,586.05

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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.