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Finding the Fourth Proportional to 103,051, 154,598.55 and 31,972.11

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Solution

The fourth proportional to 103,051, 154,598.55 and 31,972.11 is: 47,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,051 : 154,598.55 = 31,972.11 : x
  2. Step 2: Convert to fraction form
    103,051/154,598.55 = 31,972.11/x
  3. Step 3: Cross multiply
    103,051x = 154,598.55 × 31,972.11
  4. Step 4: Simplify right side
    103,051x = 4,942,841,846.44
  5. Step 5: Solve for x
    x = 4,942,841,846.44/103,051
  6. Step 6: Final answer
    x = 47,965.01

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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.