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Finding the Fourth Proportional to 27,477.48, 37,919 and 14,902.24

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Solution

The fourth proportional to 27,477.48, 37,919 and 14,902.24 is: 20,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.48 : 37,919 = 14,902.24 : x
  2. Step 2: Convert to fraction form
    27,477.48/37,919 = 14,902.24/x
  3. Step 3: Cross multiply
    27,477.48x = 37,919 × 14,902.24
  4. Step 4: Simplify right side
    27,477.48x = 565,078,038.56
  5. Step 5: Solve for x
    x = 565,078,038.56/27,477.48
  6. Step 6: Final answer
    x = 20,565.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.