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Finding the Fourth Proportional to 98,653.08, 147,964.98 and 36,309

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Solution

The fourth proportional to 98,653.08, 147,964.98 and 36,309 is: 54,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,653.08 : 147,964.98 = 36,309 : x
  2. Step 2: Convert to fraction form
    98,653.08/147,964.98 = 36,309/x
  3. Step 3: Cross multiply
    98,653.08x = 147,964.98 × 36,309
  4. Step 4: Simplify right side
    98,653.08x = 5,372,460,458.82
  5. Step 5: Solve for x
    x = 5,372,460,458.82/98,653.08
  6. Step 6: Final answer
    x = 54,458.11

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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.