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Finding the Fourth Proportional to 57,568.66, 86,389.74 and 27,970.36

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Solution

The fourth proportional to 57,568.66, 86,389.74 and 27,970.36 is: 41,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568.66 : 86,389.74 = 27,970.36 : x
  2. Step 2: Convert to fraction form
    57,568.66/86,389.74 = 27,970.36/x
  3. Step 3: Cross multiply
    57,568.66x = 86,389.74 × 27,970.36
  4. Step 4: Simplify right side
    57,568.66x = 2,416,352,128.11
  5. Step 5: Solve for x
    x = 2,416,352,128.11/57,568.66
  6. Step 6: Final answer
    x = 41,973.40

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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.