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Finding the Fourth Proportional to 57,802.45, 86,709.45 and 15,683.20

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Solution

The fourth proportional to 57,802.45, 86,709.45 and 15,683.20 is: 23,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.45 : 86,709.45 = 15,683.20 : x
  2. Step 2: Convert to fraction form
    57,802.45/86,709.45 = 15,683.20/x
  3. Step 3: Cross multiply
    57,802.45x = 86,709.45 × 15,683.20
  4. Step 4: Simplify right side
    57,802.45x = 1,359,881,646.24
  5. Step 5: Solve for x
    x = 1,359,881,646.24/57,802.45
  6. Step 6: Final answer
    x = 23,526.37

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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.