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Finding the Fourth Proportional to 123,859.26, 185,838.12 and 39,632.40

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Solution

The fourth proportional to 123,859.26, 185,838.12 and 39,632.40 is: 59,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,859.26 : 185,838.12 = 39,632.40 : x
  2. Step 2: Convert to fraction form
    123,859.26/185,838.12 = 39,632.40/x
  3. Step 3: Cross multiply
    123,859.26x = 185,838.12 × 39,632.40
  4. Step 4: Simplify right side
    123,859.26x = 7,365,210,707.09
  5. Step 5: Solve for x
    x = 7,365,210,707.09/123,859.26
  6. Step 6: Final answer
    x = 59,464.35

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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.