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Finding the Fourth Proportional to 52,524, 72,483.12 and 39,106.80

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Solution

The fourth proportional to 52,524, 72,483.12 and 39,106.80 is: 53,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 72,483.12 = 39,106.80 : x
  2. Step 2: Convert to fraction form
    52,524/72,483.12 = 39,106.80/x
  3. Step 3: Cross multiply
    52,524x = 72,483.12 × 39,106.80
  4. Step 4: Simplify right side
    52,524x = 2,834,582,877.22
  5. Step 5: Solve for x
    x = 2,834,582,877.22/52,524
  6. Step 6: Final answer
    x = 53,967.38

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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.