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Finding the Fourth Proportional to 55,392, 83,122.56 and 22,560

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Solution

The fourth proportional to 55,392, 83,122.56 and 22,560 is: 33,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,392 : 83,122.56 = 22,560 : x
  2. Step 2: Convert to fraction form
    55,392/83,122.56 = 22,560/x
  3. Step 3: Cross multiply
    55,392x = 83,122.56 × 22,560
  4. Step 4: Simplify right side
    55,392x = 1,875,244,953.60
  5. Step 5: Solve for x
    x = 1,875,244,953.60/55,392
  6. Step 6: Final answer
    x = 33,854.08

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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.