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Finding the Fourth Proportional to 53,079.84, 79,637.04 and 25,380

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Solution

The fourth proportional to 53,079.84, 79,637.04 and 25,380 is: 38,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,079.84 : 79,637.04 = 25,380 : x
  2. Step 2: Convert to fraction form
    53,079.84/79,637.04 = 25,380/x
  3. Step 3: Cross multiply
    53,079.84x = 79,637.04 × 25,380
  4. Step 4: Simplify right side
    53,079.84x = 2,021,188,075.20
  5. Step 5: Solve for x
    x = 2,021,188,075.20/53,079.84
  6. Step 6: Final answer
    x = 38,078.26

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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.