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Finding the Fourth Proportional to 77,482.22, 116,208.03 and 21,307.83

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Solution

The fourth proportional to 77,482.22, 116,208.03 and 21,307.83 is: 31,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482.22 : 116,208.03 = 21,307.83 : x
  2. Step 2: Convert to fraction form
    77,482.22/116,208.03 = 21,307.83/x
  3. Step 3: Cross multiply
    77,482.22x = 116,208.03 × 21,307.83
  4. Step 4: Simplify right side
    77,482.22x = 2,476,141,482.61
  5. Step 5: Solve for x
    x = 2,476,141,482.61/77,482.22
  6. Step 6: Final answer
    x = 31,957.54

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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.