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Finding the Fourth Proportional to 55,815, 83,700.63 and 22,528.86

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Solution

The fourth proportional to 55,815, 83,700.63 and 22,528.86 is: 33,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,815 : 83,700.63 = 22,528.86 : x
  2. Step 2: Convert to fraction form
    55,815/83,700.63 = 22,528.86/x
  3. Step 3: Cross multiply
    55,815x = 83,700.63 × 22,528.86
  4. Step 4: Simplify right side
    55,815x = 1,885,679,775.18
  5. Step 5: Solve for x
    x = 1,885,679,775.18/55,815
  6. Step 6: Final answer
    x = 33,784.46

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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.