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Finding the Fourth Proportional to 98,274, 135,618 and 53,562

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Solution

The fourth proportional to 98,274, 135,618 and 53,562 is: 73,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,274 : 135,618 = 53,562 : x
  2. Step 2: Convert to fraction form
    98,274/135,618 = 53,562/x
  3. Step 3: Cross multiply
    98,274x = 135,618 × 53,562
  4. Step 4: Simplify right side
    98,274x = 7,263,971,316
  5. Step 5: Solve for x
    x = 7,263,971,316/98,274
  6. Step 6: Final answer
    x = 73,915.49

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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.