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Finding the Fourth Proportional to 31,804.90, 47,666.55 and 17,764.90

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Solution

The fourth proportional to 31,804.90, 47,666.55 and 17,764.90 is: 26,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.90 : 47,666.55 = 17,764.90 : x
  2. Step 2: Convert to fraction form
    31,804.90/47,666.55 = 17,764.90/x
  3. Step 3: Cross multiply
    31,804.90x = 47,666.55 × 17,764.90
  4. Step 4: Simplify right side
    31,804.90x = 846,791,494.10
  5. Step 5: Solve for x
    x = 846,791,494.10/31,804.90
  6. Step 6: Final answer
    x = 26,624.56

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1.5x scale

Why These Related Problems?

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