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Finding the Fourth Proportional to 98,096.25, 135,372.83 and 53,384.25

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Solution

The fourth proportional to 98,096.25, 135,372.83 and 53,384.25 is: 73,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,096.25 : 135,372.83 = 53,384.25 : x
  2. Step 2: Convert to fraction form
    98,096.25/135,372.83 = 53,384.25/x
  3. Step 3: Cross multiply
    98,096.25x = 135,372.83 × 53,384.25
  4. Step 4: Simplify right side
    98,096.25x = 7,226,776,733.01
  5. Step 5: Solve for x
    x = 7,226,776,733.01/98,096.25
  6. Step 6: Final answer
    x = 73,670.27

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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.