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Finding the Fourth Proportional to 35,462.40, 48,929.28 and 22,872

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Solution

The fourth proportional to 35,462.40, 48,929.28 and 22,872 is: 31,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.40 : 48,929.28 = 22,872 : x
  2. Step 2: Convert to fraction form
    35,462.40/48,929.28 = 22,872/x
  3. Step 3: Cross multiply
    35,462.40x = 48,929.28 × 22,872
  4. Step 4: Simplify right side
    35,462.40x = 1,119,110,492.16
  5. Step 5: Solve for x
    x = 1,119,110,492.16/35,462.40
  6. Step 6: Final answer
    x = 31,557.66

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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.