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Finding the Fourth Proportional to 98,529.76, 135,971.60 and 53,817.76

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Solution

The fourth proportional to 98,529.76, 135,971.60 and 53,817.76 is: 74,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529.76 : 135,971.60 = 53,817.76 : x
  2. Step 2: Convert to fraction form
    98,529.76/135,971.60 = 53,817.76/x
  3. Step 3: Cross multiply
    98,529.76x = 135,971.60 × 53,817.76
  4. Step 4: Simplify right side
    98,529.76x = 7,317,686,935.62
  5. Step 5: Solve for x
    x = 7,317,686,935.62/98,529.76
  6. Step 6: Final answer
    x = 74,268.80

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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.