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Finding the Fourth Proportional to 32,280, 48,421.83 and 11,503.50

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Solution

The fourth proportional to 32,280, 48,421.83 and 11,503.50 is: 17,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280 : 48,421.83 = 11,503.50 : x
  2. Step 2: Convert to fraction form
    32,280/48,421.83 = 11,503.50/x
  3. Step 3: Cross multiply
    32,280x = 48,421.83 × 11,503.50
  4. Step 4: Simplify right side
    32,280x = 557,020,521.41
  5. Step 5: Solve for x
    x = 557,020,521.41/32,280
  6. Step 6: Final answer
    x = 17,255.90

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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.