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Finding the Fourth Proportional to 35,031.42, 48,342.96 and 19,116

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Solution

The fourth proportional to 35,031.42, 48,342.96 and 19,116 is: 26,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031.42 : 48,342.96 = 19,116 : x
  2. Step 2: Convert to fraction form
    35,031.42/48,342.96 = 19,116/x
  3. Step 3: Cross multiply
    35,031.42x = 48,342.96 × 19,116
  4. Step 4: Simplify right side
    35,031.42x = 924,124,023.36
  5. Step 5: Solve for x
    x = 924,124,023.36/35,031.42
  6. Step 6: Final answer
    x = 26,379.86

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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.