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Finding the Fourth Proportional to 32,461.74, 48,720.24 and 12,754.08

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Solution

The fourth proportional to 32,461.74, 48,720.24 and 12,754.08 is: 19,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.74 : 48,720.24 = 12,754.08 : x
  2. Step 2: Convert to fraction form
    32,461.74/48,720.24 = 12,754.08/x
  3. Step 3: Cross multiply
    32,461.74x = 48,720.24 × 12,754.08
  4. Step 4: Simplify right side
    32,461.74x = 621,381,838.58
  5. Step 5: Solve for x
    x = 621,381,838.58/32,461.74
  6. Step 6: Final answer
    x = 19,141.98

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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.