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Finding the Fourth Proportional to 57,829.58, 86,740.52 and 19,875.22

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Solution

The fourth proportional to 57,829.58, 86,740.52 and 19,875.22 is: 29,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,829.58 : 86,740.52 = 19,875.22 : x
  2. Step 2: Convert to fraction form
    57,829.58/86,740.52 = 19,875.22/x
  3. Step 3: Cross multiply
    57,829.58x = 86,740.52 × 19,875.22
  4. Step 4: Simplify right side
    57,829.58x = 1,723,986,652.50
  5. Step 5: Solve for x
    x = 1,723,986,652.50/57,829.58
  6. Step 6: Final answer
    x = 29,811.50

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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.