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Finding the Fourth Proportional to 32,473.81, 48,673.55 and 14,718

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Solution

The fourth proportional to 32,473.81, 48,673.55 and 14,718 is: 22,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.81 : 48,673.55 = 14,718 : x
  2. Step 2: Convert to fraction form
    32,473.81/48,673.55 = 14,718/x
  3. Step 3: Cross multiply
    32,473.81x = 48,673.55 × 14,718
  4. Step 4: Simplify right side
    32,473.81x = 716,377,308.90
  5. Step 5: Solve for x
    x = 716,377,308.90/32,473.81
  6. Step 6: Final answer
    x = 22,060.16

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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.