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Finding the Fourth Proportional to 50,875.07, 70,208.42 and 28,215

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Solution

The fourth proportional to 50,875.07, 70,208.42 and 28,215 is: 38,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,875.07 : 70,208.42 = 28,215 : x
  2. Step 2: Convert to fraction form
    50,875.07/70,208.42 = 28,215/x
  3. Step 3: Cross multiply
    50,875.07x = 70,208.42 × 28,215
  4. Step 4: Simplify right side
    50,875.07x = 1,980,930,429.23
  5. Step 5: Solve for x
    x = 1,980,930,429.23/50,875.07
  6. Step 6: Final answer
    x = 38,937.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.