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Finding the Fourth Proportional to 98,364, 147,546 and 32,700

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Solution

The fourth proportional to 98,364, 147,546 and 32,700 is: 49,050

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,364 : 147,546 = 32,700 : x
  2. Step 2: Convert to fraction form
    98,364/147,546 = 32,700/x
  3. Step 3: Cross multiply
    98,364x = 147,546 × 32,700
  4. Step 4: Simplify right side
    98,364x = 4,824,754,200
  5. Step 5: Solve for x
    x = 4,824,754,200/98,364
  6. Step 6: Final answer
    x = 49,050

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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.