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Finding the Fourth Proportional to 98,239, 135,569.84 and 53,527

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Solution

The fourth proportional to 98,239, 135,569.84 and 53,527 is: 73,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,239 : 135,569.84 = 53,527 : x
  2. Step 2: Convert to fraction form
    98,239/135,569.84 = 53,527/x
  3. Step 3: Cross multiply
    98,239x = 135,569.84 × 53,527
  4. Step 4: Simplify right side
    98,239x = 7,256,646,825.68
  5. Step 5: Solve for x
    x = 7,256,646,825.68/98,239
  6. Step 6: Final answer
    x = 73,867.27

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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.