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Finding the Fourth Proportional to 57,798.60, 86,726.70 and 32,857.80

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Solution

The fourth proportional to 57,798.60, 86,726.70 and 32,857.80 is: 49,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798.60 : 86,726.70 = 32,857.80 : x
  2. Step 2: Convert to fraction form
    57,798.60/86,726.70 = 32,857.80/x
  3. Step 3: Cross multiply
    57,798.60x = 86,726.70 × 32,857.80
  4. Step 4: Simplify right side
    57,798.60x = 2,849,648,563.26
  5. Step 5: Solve for x
    x = 2,849,648,563.26/57,798.60
  6. Step 6: Final answer
    x = 49,303.07

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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.