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Finding the Fourth Proportional to 76,031.59, 104,919.36 and 42,038.11

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Solution

The fourth proportional to 76,031.59, 104,919.36 and 42,038.11 is: 58,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,031.59 : 104,919.36 = 42,038.11 : x
  2. Step 2: Convert to fraction form
    76,031.59/104,919.36 = 42,038.11/x
  3. Step 3: Cross multiply
    76,031.59x = 104,919.36 × 42,038.11
  4. Step 4: Simplify right side
    76,031.59x = 4,410,611,596.81
  5. Step 5: Solve for x
    x = 4,410,611,596.81/76,031.59
  6. Step 6: Final answer
    x = 58,010.25

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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.