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Finding the Fourth Proportional to 57,170.04, 78,894.54 and 32,019

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Solution

The fourth proportional to 57,170.04, 78,894.54 and 32,019 is: 44,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170.04 : 78,894.54 = 32,019 : x
  2. Step 2: Convert to fraction form
    57,170.04/78,894.54 = 32,019/x
  3. Step 3: Cross multiply
    57,170.04x = 78,894.54 × 32,019
  4. Step 4: Simplify right side
    57,170.04x = 2,526,124,276.26
  5. Step 5: Solve for x
    x = 2,526,124,276.26/57,170.04
  6. Step 6: Final answer
    x = 44,186.16

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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.