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Finding the Fourth Proportional to 76,376.35, 114,549.69 and 38,415.50

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Solution

The fourth proportional to 76,376.35, 114,549.69 and 38,415.50 is: 57,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376.35 : 114,549.69 = 38,415.50 : x
  2. Step 2: Convert to fraction form
    76,376.35/114,549.69 = 38,415.50/x
  3. Step 3: Cross multiply
    76,376.35x = 114,549.69 × 38,415.50
  4. Step 4: Simplify right side
    76,376.35x = 4,400,483,617.07
  5. Step 5: Solve for x
    x = 4,400,483,617.07/76,376.35
  6. Step 6: Final answer
    x = 57,615.79

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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.