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Finding the Fourth Proportional to 76,040.60, 104,932.14 and 42,506.60

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Solution

The fourth proportional to 76,040.60, 104,932.14 and 42,506.60 is: 58,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,040.60 : 104,932.14 = 42,506.60 : x
  2. Step 2: Convert to fraction form
    76,040.60/104,932.14 = 42,506.60/x
  3. Step 3: Cross multiply
    76,040.60x = 104,932.14 × 42,506.60
  4. Step 4: Simplify right side
    76,040.60x = 4,460,308,502.12
  5. Step 5: Solve for x
    x = 4,460,308,502.12/76,040.60
  6. Step 6: Final answer
    x = 58,656.93

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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.