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Finding the Fourth Proportional to 32,046.70, 48,071.76 and 9,875.31

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Solution

The fourth proportional to 32,046.70, 48,071.76 and 9,875.31 is: 14,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.70 : 48,071.76 = 9,875.31 : x
  2. Step 2: Convert to fraction form
    32,046.70/48,071.76 = 9,875.31/x
  3. Step 3: Cross multiply
    32,046.70x = 48,071.76 × 9,875.31
  4. Step 4: Simplify right side
    32,046.70x = 474,723,532.25
  5. Step 5: Solve for x
    x = 474,723,532.25/32,046.70
  6. Step 6: Final answer
    x = 14,813.49

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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.