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Finding the Fourth Proportional to 98,036.25, 147,054.39 and 24,164.25

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Solution

The fourth proportional to 98,036.25, 147,054.39 and 24,164.25 is: 36,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,036.25 : 147,054.39 = 24,164.25 : x
  2. Step 2: Convert to fraction form
    98,036.25/147,054.39 = 24,164.25/x
  3. Step 3: Cross multiply
    98,036.25x = 147,054.39 × 24,164.25
  4. Step 4: Simplify right side
    98,036.25x = 3,553,459,043.56
  5. Step 5: Solve for x
    x = 3,553,459,043.56/98,036.25
  6. Step 6: Final answer
    x = 36,246.38

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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.