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Finding the Fourth Proportional to 34,565.76, 47,684.16 and 22,623.84

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Solution

The fourth proportional to 34,565.76, 47,684.16 and 22,623.84 is: 31,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,565.76 : 47,684.16 = 22,623.84 : x
  2. Step 2: Convert to fraction form
    34,565.76/47,684.16 = 22,623.84/x
  3. Step 3: Cross multiply
    34,565.76x = 47,684.16 × 22,623.84
  4. Step 4: Simplify right side
    34,565.76x = 1,078,798,806.37
  5. Step 5: Solve for x
    x = 1,078,798,806.37/34,565.76
  6. Step 6: Final answer
    x = 31,210.04

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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.