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Finding the Fourth Proportional to 101,952, 152,928 and 28,080

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Solution

The fourth proportional to 101,952, 152,928 and 28,080 is: 42,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 152,928 = 28,080 : x
  2. Step 2: Convert to fraction form
    101,952/152,928 = 28,080/x
  3. Step 3: Cross multiply
    101,952x = 152,928 × 28,080
  4. Step 4: Simplify right side
    101,952x = 4,294,218,240
  5. Step 5: Solve for x
    x = 4,294,218,240/101,952
  6. Step 6: Final answer
    x = 42,120

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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.