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Finding the Fourth Proportional to 52,466.76, 78,683.10 and 17,397

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Solution

The fourth proportional to 52,466.76, 78,683.10 and 17,397 is: 26,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,466.76 : 78,683.10 = 17,397 : x
  2. Step 2: Convert to fraction form
    52,466.76/78,683.10 = 17,397/x
  3. Step 3: Cross multiply
    52,466.76x = 78,683.10 × 17,397
  4. Step 4: Simplify right side
    52,466.76x = 1,368,849,890.70
  5. Step 5: Solve for x
    x = 1,368,849,890.70/52,466.76
  6. Step 6: Final answer
    x = 26,089.85

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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.