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Finding the Fourth Proportional to 98,515.24, 135,950.82 and 53,803.24

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Solution

The fourth proportional to 98,515.24, 135,950.82 and 53,803.24 is: 74,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,515.24 : 135,950.82 = 53,803.24 : x
  2. Step 2: Convert to fraction form
    98,515.24/135,950.82 = 53,803.24/x
  3. Step 3: Cross multiply
    98,515.24x = 135,950.82 × 53,803.24
  4. Step 4: Simplify right side
    98,515.24x = 7,314,594,596.66
  5. Step 5: Solve for x
    x = 7,314,594,596.66/98,515.24
  6. Step 6: Final answer
    x = 74,248.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.