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Finding the Fourth Proportional to 98,484, 135,908.28 and 53,772

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Solution

The fourth proportional to 98,484, 135,908.28 and 53,772 is: 74,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,484 : 135,908.28 = 53,772 : x
  2. Step 2: Convert to fraction form
    98,484/135,908.28 = 53,772/x
  3. Step 3: Cross multiply
    98,484x = 135,908.28 × 53,772
  4. Step 4: Simplify right side
    98,484x = 7,308,060,032.16
  5. Step 5: Solve for x
    x = 7,308,060,032.16/98,484
  6. Step 6: Final answer
    x = 74,205.56

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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.