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Finding the Fourth Proportional to 73,902.60, 110,870.28 and 21,307.98

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Solution

The fourth proportional to 73,902.60, 110,870.28 and 21,307.98 is: 31,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,902.60 : 110,870.28 = 21,307.98 : x
  2. Step 2: Convert to fraction form
    73,902.60/110,870.28 = 21,307.98/x
  3. Step 3: Cross multiply
    73,902.60x = 110,870.28 × 21,307.98
  4. Step 4: Simplify right side
    73,902.60x = 2,362,421,708.83
  5. Step 5: Solve for x
    x = 2,362,421,708.83/73,902.60
  6. Step 6: Final answer
    x = 31,966.69

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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.