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Finding the Fourth Proportional to 60,578.16, 90,782.16 and 51,647.30

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Solution

The fourth proportional to 60,578.16, 90,782.16 and 51,647.30 is: 77,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,578.16 : 90,782.16 = 51,647.30 : x
  2. Step 2: Convert to fraction form
    60,578.16/90,782.16 = 51,647.30/x
  3. Step 3: Cross multiply
    60,578.16x = 90,782.16 × 51,647.30
  4. Step 4: Simplify right side
    60,578.16x = 4,688,653,452.17
  5. Step 5: Solve for x
    x = 4,688,653,452.17/60,578.16
  6. Step 6: Final answer
    x = 77,398.41

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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.