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Finding the Fourth Proportional to 96,072, 144,159.84 and 46,824

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Solution

The fourth proportional to 96,072, 144,159.84 and 46,824 is: 70,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,072 : 144,159.84 = 46,824 : x
  2. Step 2: Convert to fraction form
    96,072/144,159.84 = 46,824/x
  3. Step 3: Cross multiply
    96,072x = 144,159.84 × 46,824
  4. Step 4: Simplify right side
    96,072x = 6,750,140,348.16
  5. Step 5: Solve for x
    x = 6,750,140,348.16/96,072
  6. Step 6: Final answer
    x = 70,261.27

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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.