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Finding the Fourth Proportional to 98,210.62, 135,530.67 and 53,498.62

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Solution

The fourth proportional to 98,210.62, 135,530.67 and 53,498.62 is: 73,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210.62 : 135,530.67 = 53,498.62 : x
  2. Step 2: Convert to fraction form
    98,210.62/135,530.67 = 53,498.62/x
  3. Step 3: Cross multiply
    98,210.62x = 135,530.67 × 53,498.62
  4. Step 4: Simplify right side
    98,210.62x = 7,250,703,812.68
  5. Step 5: Solve for x
    x = 7,250,703,812.68/98,210.62
  6. Step 6: Final answer
    x = 73,828.10

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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.