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Finding the Fourth Proportional to 98,344.51, 147,512.95 and 28,223.82

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Solution

The fourth proportional to 98,344.51, 147,512.95 and 28,223.82 is: 42,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344.51 : 147,512.95 = 28,223.82 : x
  2. Step 2: Convert to fraction form
    98,344.51/147,512.95 = 28,223.82/x
  3. Step 3: Cross multiply
    98,344.51x = 147,512.95 × 28,223.82
  4. Step 4: Simplify right side
    98,344.51x = 4,163,378,877.91
  5. Step 5: Solve for x
    x = 4,163,378,877.91/98,344.51
  6. Step 6: Final answer
    x = 42,334.64

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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.