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Finding the Fourth Proportional to 37,184.23, 55,776 and 9,104.41

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Solution

The fourth proportional to 37,184.23, 55,776 and 9,104.41 is: 13,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.23 : 55,776 = 9,104.41 : x
  2. Step 2: Convert to fraction form
    37,184.23/55,776 = 9,104.41/x
  3. Step 3: Cross multiply
    37,184.23x = 55,776 × 9,104.41
  4. Step 4: Simplify right side
    37,184.23x = 507,807,572.16
  5. Step 5: Solve for x
    x = 507,807,572.16/37,184.23
  6. Step 6: Final answer
    x = 13,656.53

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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.