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Finding the Fourth Proportional to 76,549.68, 114,824.52 and 41,710.74

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Solution

The fourth proportional to 76,549.68, 114,824.52 and 41,710.74 is: 62,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.68 : 114,824.52 = 41,710.74 : x
  2. Step 2: Convert to fraction form
    76,549.68/114,824.52 = 41,710.74/x
  3. Step 3: Cross multiply
    76,549.68x = 114,824.52 × 41,710.74
  4. Step 4: Simplify right side
    76,549.68x = 4,789,415,699.34
  5. Step 5: Solve for x
    x = 4,789,415,699.34/76,549.68
  6. Step 6: Final answer
    x = 62,566.11

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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.