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Finding the Fourth Proportional to 56,411.40, 84,617.10 and 48,894.60

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Solution

The fourth proportional to 56,411.40, 84,617.10 and 48,894.60 is: 73,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,411.40 : 84,617.10 = 48,894.60 : x
  2. Step 2: Convert to fraction form
    56,411.40/84,617.10 = 48,894.60/x
  3. Step 3: Cross multiply
    56,411.40x = 84,617.10 × 48,894.60
  4. Step 4: Simplify right side
    56,411.40x = 4,137,319,257.66
  5. Step 5: Solve for x
    x = 4,137,319,257.66/56,411.40
  6. Step 6: Final answer
    x = 73,341.90

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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.