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Finding the Fourth Proportional to 52,536.48, 78,809.92 and 25,866.48

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Solution

The fourth proportional to 52,536.48, 78,809.92 and 25,866.48 is: 38,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536.48 : 78,809.92 = 25,866.48 : x
  2. Step 2: Convert to fraction form
    52,536.48/78,809.92 = 25,866.48/x
  3. Step 3: Cross multiply
    52,536.48x = 78,809.92 × 25,866.48
  4. Step 4: Simplify right side
    52,536.48x = 2,038,535,219.48
  5. Step 5: Solve for x
    x = 2,038,535,219.48/52,536.48
  6. Step 6: Final answer
    x = 38,802.28

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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.