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Finding the Fourth Proportional to 57,913.76, 86,870.70 and 22,852.50

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Solution

The fourth proportional to 57,913.76, 86,870.70 and 22,852.50 is: 34,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,913.76 : 86,870.70 = 22,852.50 : x
  2. Step 2: Convert to fraction form
    57,913.76/86,870.70 = 22,852.50/x
  3. Step 3: Cross multiply
    57,913.76x = 86,870.70 × 22,852.50
  4. Step 4: Simplify right side
    57,913.76x = 1,985,212,671.75
  5. Step 5: Solve for x
    x = 1,985,212,671.75/57,913.76
  6. Step 6: Final answer
    x = 34,278.78

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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.