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Finding the Fourth Proportional to 57,746.40, 86,446.80 and 54,328.80

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Solution

The fourth proportional to 57,746.40, 86,446.80 and 54,328.80 is: 81,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746.40 : 86,446.80 = 54,328.80 : x
  2. Step 2: Convert to fraction form
    57,746.40/86,446.80 = 54,328.80/x
  3. Step 3: Cross multiply
    57,746.40x = 86,446.80 × 54,328.80
  4. Step 4: Simplify right side
    57,746.40x = 4,696,550,907.84
  5. Step 5: Solve for x
    x = 4,696,550,907.84/57,746.40
  6. Step 6: Final answer
    x = 81,330.63

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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.