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Finding the Fourth Proportional to 100,792.44, 139,095.39 and 55,470

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Solution

The fourth proportional to 100,792.44, 139,095.39 and 55,470 is: 76,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,792.44 : 139,095.39 = 55,470 : x
  2. Step 2: Convert to fraction form
    100,792.44/139,095.39 = 55,470/x
  3. Step 3: Cross multiply
    100,792.44x = 139,095.39 × 55,470
  4. Step 4: Simplify right side
    100,792.44x = 7,715,621,283.30
  5. Step 5: Solve for x
    x = 7,715,621,283.30/100,792.44
  6. Step 6: Final answer
    x = 76,549.60

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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.