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Finding the Fourth Proportional to 31,810.42, 47,718.34 and 8,436.58

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Solution

The fourth proportional to 31,810.42, 47,718.34 and 8,436.58 is: 12,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.42 : 47,718.34 = 8,436.58 : x
  2. Step 2: Convert to fraction form
    31,810.42/47,718.34 = 8,436.58/x
  3. Step 3: Cross multiply
    31,810.42x = 47,718.34 × 8,436.58
  4. Step 4: Simplify right side
    31,810.42x = 402,579,592.88
  5. Step 5: Solve for x
    x = 402,579,592.88/31,810.42
  6. Step 6: Final answer
    x = 12,655.59

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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.