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Finding the Fourth Proportional to 92,543.76, 127,710 and 52,257.06

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Solution

The fourth proportional to 92,543.76, 127,710 and 52,257.06 is: 72,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,543.76 : 127,710 = 52,257.06 : x
  2. Step 2: Convert to fraction form
    92,543.76/127,710 = 52,257.06/x
  3. Step 3: Cross multiply
    92,543.76x = 127,710 × 52,257.06
  4. Step 4: Simplify right side
    92,543.76x = 6,673,749,132.60
  5. Step 5: Solve for x
    x = 6,673,749,132.60/92,543.76
  6. Step 6: Final answer
    x = 72,114.52

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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.