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Finding the Fourth Proportional to 98,032.48, 147,048 and 27,911.68

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Solution

The fourth proportional to 98,032.48, 147,048 and 27,911.68 is: 41,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,032.48 : 147,048 = 27,911.68 : x
  2. Step 2: Convert to fraction form
    98,032.48/147,048 = 27,911.68/x
  3. Step 3: Cross multiply
    98,032.48x = 147,048 × 27,911.68
  4. Step 4: Simplify right side
    98,032.48x = 4,104,356,720.64
  5. Step 5: Solve for x
    x = 4,104,356,720.64/98,032.48
  6. Step 6: Final answer
    x = 41,867.32

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1.5x scale

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.