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Finding the Fourth Proportional to 98,315.51, 147,476.53 and 27,238.86

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Solution

The fourth proportional to 98,315.51, 147,476.53 and 27,238.86 is: 40,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,315.51 : 147,476.53 = 27,238.86 : x
  2. Step 2: Convert to fraction form
    98,315.51/147,476.53 = 27,238.86/x
  3. Step 3: Cross multiply
    98,315.51x = 147,476.53 × 27,238.86
  4. Step 4: Simplify right side
    98,315.51x = 4,017,092,434.79
  5. Step 5: Solve for x
    x = 4,017,092,434.79/98,315.51
  6. Step 6: Final answer
    x = 40,859.19

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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.