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Finding the Fourth Proportional to 98,282, 147,423 and 32,618

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Solution

The fourth proportional to 98,282, 147,423 and 32,618 is: 48,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,282 : 147,423 = 32,618 : x
  2. Step 2: Convert to fraction form
    98,282/147,423 = 32,618/x
  3. Step 3: Cross multiply
    98,282x = 147,423 × 32,618
  4. Step 4: Simplify right side
    98,282x = 4,808,643,414
  5. Step 5: Solve for x
    x = 4,808,643,414/98,282
  6. Step 6: Final answer
    x = 48,927

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.