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Finding the Fourth Proportional to 110,521, 165,868.86 and 48,235.24

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Solution

The fourth proportional to 110,521, 165,868.86 and 48,235.24 is: 72,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,521 : 165,868.86 = 48,235.24 : x
  2. Step 2: Convert to fraction form
    110,521/165,868.86 = 48,235.24/x
  3. Step 3: Cross multiply
    110,521x = 165,868.86 × 48,235.24
  4. Step 4: Simplify right side
    110,521x = 8,000,724,270.63
  5. Step 5: Solve for x
    x = 8,000,724,270.63/110,521
  6. Step 6: Final answer
    x = 72,390.99

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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.