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Finding the Fourth Proportional to 32,506.22, 48,754.35 and 10,316.72

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Solution

The fourth proportional to 32,506.22, 48,754.35 and 10,316.72 is: 15,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.22 : 48,754.35 = 10,316.72 : x
  2. Step 2: Convert to fraction form
    32,506.22/48,754.35 = 10,316.72/x
  3. Step 3: Cross multiply
    32,506.22x = 48,754.35 × 10,316.72
  4. Step 4: Simplify right side
    32,506.22x = 502,984,977.73
  5. Step 5: Solve for x
    x = 502,984,977.73/32,506.22
  6. Step 6: Final answer
    x = 15,473.50

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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.