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Finding the Fourth Proportional to 98,502.36, 147,768.12 and 36,168

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Solution

The fourth proportional to 98,502.36, 147,768.12 and 36,168 is: 54,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,502.36 : 147,768.12 = 36,168 : x
  2. Step 2: Convert to fraction form
    98,502.36/147,768.12 = 36,168/x
  3. Step 3: Cross multiply
    98,502.36x = 147,768.12 × 36,168
  4. Step 4: Simplify right side
    98,502.36x = 5,344,477,364.16
  5. Step 5: Solve for x
    x = 5,344,477,364.16/98,502.36
  6. Step 6: Final answer
    x = 54,257.35

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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.