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Finding the Fourth Proportional to 37,548.34, 56,338.17 and 16,477.50

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Solution

The fourth proportional to 37,548.34, 56,338.17 and 16,477.50 is: 24,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548.34 : 56,338.17 = 16,477.50 : x
  2. Step 2: Convert to fraction form
    37,548.34/56,338.17 = 16,477.50/x
  3. Step 3: Cross multiply
    37,548.34x = 56,338.17 × 16,477.50
  4. Step 4: Simplify right side
    37,548.34x = 928,312,196.18
  5. Step 5: Solve for x
    x = 928,312,196.18/37,548.34
  6. Step 6: Final answer
    x = 24,723.12

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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.