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Finding the Fourth Proportional to 30,543.86, 46,023.89 and 25,118.74

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Solution

The fourth proportional to 30,543.86, 46,023.89 and 25,118.74 is: 37,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.86 : 46,023.89 = 25,118.74 : x
  2. Step 2: Convert to fraction form
    30,543.86/46,023.89 = 25,118.74/x
  3. Step 3: Cross multiply
    30,543.86x = 46,023.89 × 25,118.74
  4. Step 4: Simplify right side
    30,543.86x = 1,156,062,126.70
  5. Step 5: Solve for x
    x = 1,156,062,126.70/30,543.86
  6. Step 6: Final answer
    x = 37,849.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.