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Finding the Fourth Proportional to 31,810.32, 47,710.62 and 8,438.58

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Solution

The fourth proportional to 31,810.32, 47,710.62 and 8,438.58 is: 12,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.32 : 47,710.62 = 8,438.58 : x
  2. Step 2: Convert to fraction form
    31,810.32/47,710.62 = 8,438.58/x
  3. Step 3: Cross multiply
    31,810.32x = 47,710.62 × 8,438.58
  4. Step 4: Simplify right side
    31,810.32x = 402,609,883.72
  5. Step 5: Solve for x
    x = 402,609,883.72/31,810.32
  6. Step 6: Final answer
    x = 12,656.58

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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.