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Finding the Fourth Proportional to 32,013.80, 48,013.02 and 16,423.40

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Solution

The fourth proportional to 32,013.80, 48,013.02 and 16,423.40 is: 24,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.80 : 48,013.02 = 16,423.40 : x
  2. Step 2: Convert to fraction form
    32,013.80/48,013.02 = 16,423.40/x
  3. Step 3: Cross multiply
    32,013.80x = 48,013.02 × 16,423.40
  4. Step 4: Simplify right side
    32,013.80x = 788,537,032.67
  5. Step 5: Solve for x
    x = 788,537,032.67/32,013.80
  6. Step 6: Final answer
    x = 24,631.16

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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.