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Finding the Fourth Proportional to 57,509.76, 86,231.36 and 26,328.32

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Solution

The fourth proportional to 57,509.76, 86,231.36 and 26,328.32 is: 39,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.76 : 86,231.36 = 26,328.32 : x
  2. Step 2: Convert to fraction form
    57,509.76/86,231.36 = 26,328.32/x
  3. Step 3: Cross multiply
    57,509.76x = 86,231.36 × 26,328.32
  4. Step 4: Simplify right side
    57,509.76x = 2,270,326,840.12
  5. Step 5: Solve for x
    x = 2,270,326,840.12/57,509.76
  6. Step 6: Final answer
    x = 39,477.24

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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.