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Finding the Fourth Proportional to 27,038.50, 37,313.04 and 15,101.84

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Solution

The fourth proportional to 27,038.50, 37,313.04 and 15,101.84 is: 20,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.50 : 37,313.04 = 15,101.84 : x
  2. Step 2: Convert to fraction form
    27,038.50/37,313.04 = 15,101.84/x
  3. Step 3: Cross multiply
    27,038.50x = 37,313.04 × 15,101.84
  4. Step 4: Simplify right side
    27,038.50x = 563,495,559.99
  5. Step 5: Solve for x
    x = 563,495,559.99/27,038.50
  6. Step 6: Final answer
    x = 20,840.49

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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.