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Finding the Fourth Proportional to 114,693.96, 172,065.52 and 39,816.48

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Solution

The fourth proportional to 114,693.96, 172,065.52 and 39,816.48 is: 59,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,693.96 : 172,065.52 = 39,816.48 : x
  2. Step 2: Convert to fraction form
    114,693.96/172,065.52 = 39,816.48/x
  3. Step 3: Cross multiply
    114,693.96x = 172,065.52 × 39,816.48
  4. Step 4: Simplify right side
    114,693.96x = 6,851,043,335.77
  5. Step 5: Solve for x
    x = 6,851,043,335.77/114,693.96
  6. Step 6: Final answer
    x = 59,733.25

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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.