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Finding the Fourth Proportional to 50,816, 70,126.44 and 28,460

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Solution

The fourth proportional to 50,816, 70,126.44 and 28,460 is: 39,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,816 : 70,126.44 = 28,460 : x
  2. Step 2: Convert to fraction form
    50,816/70,126.44 = 28,460/x
  3. Step 3: Cross multiply
    50,816x = 70,126.44 × 28,460
  4. Step 4: Simplify right side
    50,816x = 1,995,798,482.40
  5. Step 5: Solve for x
    x = 1,995,798,482.40/50,816
  6. Step 6: Final answer
    x = 39,275.00

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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.