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Finding the Fourth Proportional to 76,409.40, 114,648.48 and 41,307.96

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Solution

The fourth proportional to 76,409.40, 114,648.48 and 41,307.96 is: 61,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,409.40 : 114,648.48 = 41,307.96 : x
  2. Step 2: Convert to fraction form
    76,409.40/114,648.48 = 41,307.96/x
  3. Step 3: Cross multiply
    76,409.40x = 114,648.48 × 41,307.96
  4. Step 4: Simplify right side
    76,409.40x = 4,735,894,825.90
  5. Step 5: Solve for x
    x = 4,735,894,825.90/76,409.40
  6. Step 6: Final answer
    x = 61,980.53

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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.