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Finding the Fourth Proportional to 57,465.20, 79,296.36 and 32,314.16

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Solution

The fourth proportional to 57,465.20, 79,296.36 and 32,314.16 is: 44,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.20 : 79,296.36 = 32,314.16 : x
  2. Step 2: Convert to fraction form
    57,465.20/79,296.36 = 32,314.16/x
  3. Step 3: Cross multiply
    57,465.20x = 79,296.36 × 32,314.16
  4. Step 4: Simplify right side
    57,465.20x = 2,562,395,264.46
  5. Step 5: Solve for x
    x = 2,562,395,264.46/57,465.20
  6. Step 6: Final answer
    x = 44,590.38

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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.