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Finding the Fourth Proportional to 76,567.48, 114,811.63 and 34,411.53

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Solution

The fourth proportional to 76,567.48, 114,811.63 and 34,411.53 is: 51,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,567.48 : 114,811.63 = 34,411.53 : x
  2. Step 2: Convert to fraction form
    76,567.48/114,811.63 = 34,411.53/x
  3. Step 3: Cross multiply
    76,567.48x = 114,811.63 × 34,411.53
  4. Step 4: Simplify right side
    76,567.48x = 3,950,844,194.61
  5. Step 5: Solve for x
    x = 3,950,844,194.61/76,567.48
  6. Step 6: Final answer
    x = 51,599.51

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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.