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Finding the Fourth Proportional to 147,584, 221,376 and 49,088

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Solution

The fourth proportional to 147,584, 221,376 and 49,088 is: 73,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,584 : 221,376 = 49,088 : x
  2. Step 2: Convert to fraction form
    147,584/221,376 = 49,088/x
  3. Step 3: Cross multiply
    147,584x = 221,376 × 49,088
  4. Step 4: Simplify right side
    147,584x = 10,866,905,088
  5. Step 5: Solve for x
    x = 10,866,905,088/147,584
  6. Step 6: Final answer
    x = 73,632

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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.