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Finding the Fourth Proportional to 98,764.91, 148,161.95 and 28,635.11

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Solution

The fourth proportional to 98,764.91, 148,161.95 and 28,635.11 is: 42,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,764.91 : 148,161.95 = 28,635.11 : x
  2. Step 2: Convert to fraction form
    98,764.91/148,161.95 = 28,635.11/x
  3. Step 3: Cross multiply
    98,764.91x = 148,161.95 × 28,635.11
  4. Step 4: Simplify right side
    98,764.91x = 4,242,632,852.08
  5. Step 5: Solve for x
    x = 4,242,632,852.08/98,764.91
  6. Step 6: Final answer
    x = 42,956.89

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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.