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Finding the Fourth Proportional to 38,564.99, 53,219.53 and 21,569.16

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Solution

The fourth proportional to 38,564.99, 53,219.53 and 21,569.16 is: 29,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.99 : 53,219.53 = 21,569.16 : x
  2. Step 2: Convert to fraction form
    38,564.99/53,219.53 = 21,569.16/x
  3. Step 3: Cross multiply
    38,564.99x = 53,219.53 × 21,569.16
  4. Step 4: Simplify right side
    38,564.99x = 1,147,900,503.77
  5. Step 5: Solve for x
    x = 1,147,900,503.77/38,564.99
  6. Step 6: Final answer
    x = 29,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.