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Finding the Fourth Proportional to 53,230.56, 79,802.50 and 19,931.96

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Solution

The fourth proportional to 53,230.56, 79,802.50 and 19,931.96 is: 29,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,230.56 : 79,802.50 = 19,931.96 : x
  2. Step 2: Convert to fraction form
    53,230.56/79,802.50 = 19,931.96/x
  3. Step 3: Cross multiply
    53,230.56x = 79,802.50 × 19,931.96
  4. Step 4: Simplify right side
    53,230.56x = 1,590,620,237.90
  5. Step 5: Solve for x
    x = 1,590,620,237.90/53,230.56
  6. Step 6: Final answer
    x = 29,881.71

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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.