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Finding the Fourth Proportional to 34,773.12, 47,981.76 and 19,661.76

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Solution

The fourth proportional to 34,773.12, 47,981.76 and 19,661.76 is: 27,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,773.12 : 47,981.76 = 19,661.76 : x
  2. Step 2: Convert to fraction form
    34,773.12/47,981.76 = 19,661.76/x
  3. Step 3: Cross multiply
    34,773.12x = 47,981.76 × 19,661.76
  4. Step 4: Simplify right side
    34,773.12x = 943,405,849.50
  5. Step 5: Solve for x
    x = 943,405,849.50/34,773.12
  6. Step 6: Final answer
    x = 27,130.32

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1.5x scale

Why These Related Problems?

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