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Finding the Fourth Proportional to 155,616, 233,424 and 38,880

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Solution

The fourth proportional to 155,616, 233,424 and 38,880 is: 58,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,616 : 233,424 = 38,880 : x
  2. Step 2: Convert to fraction form
    155,616/233,424 = 38,880/x
  3. Step 3: Cross multiply
    155,616x = 233,424 × 38,880
  4. Step 4: Simplify right side
    155,616x = 9,075,525,120
  5. Step 5: Solve for x
    x = 9,075,525,120/155,616
  6. Step 6: Final answer
    x = 58,320

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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.