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Finding the Fourth Proportional to 65,715.30, 98,590.24 and 34,127.46

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Solution

The fourth proportional to 65,715.30, 98,590.24 and 34,127.46 is: 51,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,715.30 : 98,590.24 = 34,127.46 : x
  2. Step 2: Convert to fraction form
    65,715.30/98,590.24 = 34,127.46/x
  3. Step 3: Cross multiply
    65,715.30x = 98,590.24 × 34,127.46
  4. Step 4: Simplify right side
    65,715.30x = 3,364,634,471.99
  5. Step 5: Solve for x
    x = 3,364,634,471.99/65,715.30
  6. Step 6: Final answer
    x = 51,200.17

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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.