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Finding the Fourth Proportional to 56,730.60, 84,894.30 and 49,415.40

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Solution

The fourth proportional to 56,730.60, 84,894.30 and 49,415.40 is: 73,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,730.60 : 84,894.30 = 49,415.40 : x
  2. Step 2: Convert to fraction form
    56,730.60/84,894.30 = 49,415.40/x
  3. Step 3: Cross multiply
    56,730.60x = 84,894.30 × 49,415.40
  4. Step 4: Simplify right side
    56,730.60x = 4,195,085,792.22
  5. Step 5: Solve for x
    x = 4,195,085,792.22/56,730.60
  6. Step 6: Final answer
    x = 73,947.50

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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.