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Finding the Fourth Proportional to 76,362.84, 114,421.14 and 41,319

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Solution

The fourth proportional to 76,362.84, 114,421.14 and 41,319 is: 61,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.84 : 114,421.14 = 41,319 : x
  2. Step 2: Convert to fraction form
    76,362.84/114,421.14 = 41,319/x
  3. Step 3: Cross multiply
    76,362.84x = 114,421.14 × 41,319
  4. Step 4: Simplify right side
    76,362.84x = 4,727,767,083.66
  5. Step 5: Solve for x
    x = 4,727,767,083.66/76,362.84
  6. Step 6: Final answer
    x = 61,911.88

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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.