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Finding the Fourth Proportional to 27,038.10, 40,477.28 and 19,971.18

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Solution

The fourth proportional to 27,038.10, 40,477.28 and 19,971.18 is: 29,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.10 : 40,477.28 = 19,971.18 : x
  2. Step 2: Convert to fraction form
    27,038.10/40,477.28 = 19,971.18/x
  3. Step 3: Cross multiply
    27,038.10x = 40,477.28 × 19,971.18
  4. Step 4: Simplify right side
    27,038.10x = 808,378,944.93
  5. Step 5: Solve for x
    x = 808,378,944.93/27,038.10
  6. Step 6: Final answer
    x = 29,897.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.