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Finding the Fourth Proportional to 76,047, 114,085.80 and 23,454.24

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Solution

The fourth proportional to 76,047, 114,085.80 and 23,454.24 is: 35,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,047 : 114,085.80 = 23,454.24 : x
  2. Step 2: Convert to fraction form
    76,047/114,085.80 = 23,454.24/x
  3. Step 3: Cross multiply
    76,047x = 114,085.80 × 23,454.24
  4. Step 4: Simplify right side
    76,047x = 2,675,795,733.79
  5. Step 5: Solve for x
    x = 2,675,795,733.79/76,047
  6. Step 6: Final answer
    x = 35,186.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.