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Finding the Fourth Proportional to 85,695.42, 128,541.75 and 23,365.92

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Solution

The fourth proportional to 85,695.42, 128,541.75 and 23,365.92 is: 35,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,695.42 : 128,541.75 = 23,365.92 : x
  2. Step 2: Convert to fraction form
    85,695.42/128,541.75 = 23,365.92/x
  3. Step 3: Cross multiply
    85,695.42x = 128,541.75 × 23,365.92
  4. Step 4: Simplify right side
    85,695.42x = 3,003,496,247.16
  5. Step 5: Solve for x
    x = 3,003,496,247.16/85,695.42
  6. Step 6: Final answer
    x = 35,048.50

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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.