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Finding the Fourth Proportional to 97,683.52, 146,525.26 and 23,811.52

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Solution

The fourth proportional to 97,683.52, 146,525.26 and 23,811.52 is: 35,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,683.52 : 146,525.26 = 23,811.52 : x
  2. Step 2: Convert to fraction form
    97,683.52/146,525.26 = 23,811.52/x
  3. Step 3: Cross multiply
    97,683.52x = 146,525.26 × 23,811.52
  4. Step 4: Simplify right side
    97,683.52x = 3,488,989,159.00
  5. Step 5: Solve for x
    x = 3,488,989,159.00/97,683.52
  6. Step 6: Final answer
    x = 35,717.28

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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.