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Finding the Fourth Proportional to 94,824, 130,844.16 and 52,380

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Solution

The fourth proportional to 94,824, 130,844.16 and 52,380 is: 72,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,824 : 130,844.16 = 52,380 : x
  2. Step 2: Convert to fraction form
    94,824/130,844.16 = 52,380/x
  3. Step 3: Cross multiply
    94,824x = 130,844.16 × 52,380
  4. Step 4: Simplify right side
    94,824x = 6,853,617,100.80
  5. Step 5: Solve for x
    x = 6,853,617,100.80/94,824
  6. Step 6: Final answer
    x = 72,277.24

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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.