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Finding the Fourth Proportional to 31,437.42, 47,155.05 and 8,064.06

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Solution

The fourth proportional to 31,437.42, 47,155.05 and 8,064.06 is: 12,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,437.42 : 47,155.05 = 8,064.06 : x
  2. Step 2: Convert to fraction form
    31,437.42/47,155.05 = 8,064.06/x
  3. Step 3: Cross multiply
    31,437.42x = 47,155.05 × 8,064.06
  4. Step 4: Simplify right side
    31,437.42x = 380,261,152.50
  5. Step 5: Solve for x
    x = 380,261,152.50/31,437.42
  6. Step 6: Final answer
    x = 12,095.81

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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.