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Finding the Fourth Proportional to 40,957.90, 56,522 and 23,053.16

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Solution

The fourth proportional to 40,957.90, 56,522 and 23,053.16 is: 31,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,957.90 : 56,522 = 23,053.16 : x
  2. Step 2: Convert to fraction form
    40,957.90/56,522 = 23,053.16/x
  3. Step 3: Cross multiply
    40,957.90x = 56,522 × 23,053.16
  4. Step 4: Simplify right side
    40,957.90x = 1,303,010,709.52
  5. Step 5: Solve for x
    x = 1,303,010,709.52/40,957.90
  6. Step 6: Final answer
    x = 31,813.42

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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.