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Finding the Fourth Proportional to 115,806.42, 173,713.14 and 39,904.02

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Solution

The fourth proportional to 115,806.42, 173,713.14 and 39,904.02 is: 59,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806.42 : 173,713.14 = 39,904.02 : x
  2. Step 2: Convert to fraction form
    115,806.42/173,713.14 = 39,904.02/x
  3. Step 3: Cross multiply
    115,806.42x = 173,713.14 × 39,904.02
  4. Step 4: Simplify right side
    115,806.42x = 6,931,852,612.82
  5. Step 5: Solve for x
    x = 6,931,852,612.82/115,806.42
  6. Step 6: Final answer
    x = 59,857.24

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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.