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Finding the Fourth Proportional to 40,076, 55,307.44 and 22,412

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Solution

The fourth proportional to 40,076, 55,307.44 and 22,412 is: 30,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,076 : 55,307.44 = 22,412 : x
  2. Step 2: Convert to fraction form
    40,076/55,307.44 = 22,412/x
  3. Step 3: Cross multiply
    40,076x = 55,307.44 × 22,412
  4. Step 4: Simplify right side
    40,076x = 1,239,550,345.28
  5. Step 5: Solve for x
    x = 1,239,550,345.28/40,076
  6. Step 6: Final answer
    x = 30,929.99

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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.