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Finding the Fourth Proportional to 76,031.60, 104,919.38 and 42,038.10

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Solution

The fourth proportional to 76,031.60, 104,919.38 and 42,038.10 is: 58,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,031.60 : 104,919.38 = 42,038.10 : x
  2. Step 2: Convert to fraction form
    76,031.60/104,919.38 = 42,038.10/x
  3. Step 3: Cross multiply
    76,031.60x = 104,919.38 × 42,038.10
  4. Step 4: Simplify right side
    76,031.60x = 4,410,611,388.38
  5. Step 5: Solve for x
    x = 4,410,611,388.38/76,031.60
  6. Step 6: Final answer
    x = 58,010.24

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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.