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Finding the Fourth Proportional to 92,333.98, 138,451.74 and 47,916.01

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Solution

The fourth proportional to 92,333.98, 138,451.74 and 47,916.01 is: 71,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,333.98 : 138,451.74 = 47,916.01 : x
  2. Step 2: Convert to fraction form
    92,333.98/138,451.74 = 47,916.01/x
  3. Step 3: Cross multiply
    92,333.98x = 138,451.74 × 47,916.01
  4. Step 4: Simplify right side
    92,333.98x = 6,634,054,958.36
  5. Step 5: Solve for x
    x = 6,634,054,958.36/92,333.98
  6. Step 6: Final answer
    x = 71,848.47

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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.