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Finding the Fourth Proportional to 173,952, 260,928 and 42,624

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Solution

The fourth proportional to 173,952, 260,928 and 42,624 is: 63,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,952 : 260,928 = 42,624 : x
  2. Step 2: Convert to fraction form
    173,952/260,928 = 42,624/x
  3. Step 3: Cross multiply
    173,952x = 260,928 × 42,624
  4. Step 4: Simplify right side
    173,952x = 11,121,795,072
  5. Step 5: Solve for x
    x = 11,121,795,072/173,952
  6. Step 6: Final answer
    x = 63,936

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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.