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Finding the Fourth Proportional to 98,324, 135,688.08 and 53,612.96

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Solution

The fourth proportional to 98,324, 135,688.08 and 53,612.96 is: 73,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,324 : 135,688.08 = 53,612.96 : x
  2. Step 2: Convert to fraction form
    98,324/135,688.08 = 53,612.96/x
  3. Step 3: Cross multiply
    98,324x = 135,688.08 × 53,612.96
  4. Step 4: Simplify right side
    98,324x = 7,274,639,605.52
  5. Step 5: Solve for x
    x = 7,274,639,605.52/98,324
  6. Step 6: Final answer
    x = 73,986.41

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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.