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Finding the Fourth Proportional to 98,652.64, 147,964.32 and 36,308.56

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Solution

The fourth proportional to 98,652.64, 147,964.32 and 36,308.56 is: 54,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.64 : 147,964.32 = 36,308.56 : x
  2. Step 2: Convert to fraction form
    98,652.64/147,964.32 = 36,308.56/x
  3. Step 3: Cross multiply
    98,652.64x = 147,964.32 × 36,308.56
  4. Step 4: Simplify right side
    98,652.64x = 5,372,371,390.58
  5. Step 5: Solve for x
    x = 5,372,371,390.58/98,652.64
  6. Step 6: Final answer
    x = 54,457.45

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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.