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Finding the Fourth Proportional to 57,213, 78,953.94 and 32,070.60

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Solution

The fourth proportional to 57,213, 78,953.94 and 32,070.60 is: 44,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213 : 78,953.94 = 32,070.60 : x
  2. Step 2: Convert to fraction form
    57,213/78,953.94 = 32,070.60/x
  3. Step 3: Cross multiply
    57,213x = 78,953.94 × 32,070.60
  4. Step 4: Simplify right side
    57,213x = 2,532,100,228.16
  5. Step 5: Solve for x
    x = 2,532,100,228.16/57,213
  6. Step 6: Final answer
    x = 44,257.43

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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.