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Finding the Fourth Proportional to 98,629, 147,869.64 and 32,029.36

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Solution

The fourth proportional to 98,629, 147,869.64 and 32,029.36 is: 48,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,629 : 147,869.64 = 32,029.36 : x
  2. Step 2: Convert to fraction form
    98,629/147,869.64 = 32,029.36/x
  3. Step 3: Cross multiply
    98,629x = 147,869.64 × 32,029.36
  4. Step 4: Simplify right side
    98,629x = 4,736,169,932.63
  5. Step 5: Solve for x
    x = 4,736,169,932.63/98,629
  6. Step 6: Final answer
    x = 48,020.05

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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.