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Finding the Fourth Proportional to 56,460.74, 77,720.21 and 48,800.50

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Solution

The fourth proportional to 56,460.74, 77,720.21 and 48,800.50 is: 67,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,460.74 : 77,720.21 = 48,800.50 : x
  2. Step 2: Convert to fraction form
    56,460.74/77,720.21 = 48,800.50/x
  3. Step 3: Cross multiply
    56,460.74x = 77,720.21 × 48,800.50
  4. Step 4: Simplify right side
    56,460.74x = 3,792,784,669.80
  5. Step 5: Solve for x
    x = 3,792,784,669.80/56,460.74
  6. Step 6: Final answer
    x = 67,175.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.