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Finding the Fourth Proportional to 35,707.84, 49,258.72 and 22,289.44

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Solution

The fourth proportional to 35,707.84, 49,258.72 and 22,289.44 is: 30,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707.84 : 49,258.72 = 22,289.44 : x
  2. Step 2: Convert to fraction form
    35,707.84/49,258.72 = 22,289.44/x
  3. Step 3: Cross multiply
    35,707.84x = 49,258.72 × 22,289.44
  4. Step 4: Simplify right side
    35,707.84x = 1,097,949,283.92
  5. Step 5: Solve for x
    x = 1,097,949,283.92/35,707.84
  6. Step 6: Final answer
    x = 30,748.13

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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.