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Finding the Fourth Proportional to 57,071.70, 78,595.65 and 41,130.90

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Solution

The fourth proportional to 57,071.70, 78,595.65 and 41,130.90 is: 56,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071.70 : 78,595.65 = 41,130.90 : x
  2. Step 2: Convert to fraction form
    57,071.70/78,595.65 = 41,130.90/x
  3. Step 3: Cross multiply
    57,071.70x = 78,595.65 × 41,130.90
  4. Step 4: Simplify right side
    57,071.70x = 3,232,709,820.59
  5. Step 5: Solve for x
    x = 3,232,709,820.59/57,071.70
  6. Step 6: Final answer
    x = 56,642.96

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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.