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Finding the Fourth Proportional to 76,031, 104,926.04 and 42,497

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Solution

The fourth proportional to 76,031, 104,926.04 and 42,497 is: 58,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,031 : 104,926.04 = 42,497 : x
  2. Step 2: Convert to fraction form
    76,031/104,926.04 = 42,497/x
  3. Step 3: Cross multiply
    76,031x = 104,926.04 × 42,497
  4. Step 4: Simplify right side
    76,031x = 4,459,041,921.88
  5. Step 5: Solve for x
    x = 4,459,041,921.88/76,031
  6. Step 6: Final answer
    x = 58,647.68

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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.