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Finding the Fourth Proportional to 35,886.30, 49,529.25 and 22,462.98

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Solution

The fourth proportional to 35,886.30, 49,529.25 and 22,462.98 is: 31,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.30 : 49,529.25 = 22,462.98 : x
  2. Step 2: Convert to fraction form
    35,886.30/49,529.25 = 22,462.98/x
  3. Step 3: Cross multiply
    35,886.30x = 49,529.25 × 22,462.98
  4. Step 4: Simplify right side
    35,886.30x = 1,112,574,552.17
  5. Step 5: Solve for x
    x = 1,112,574,552.17/35,886.30
  6. Step 6: Final answer
    x = 31,002.77

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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.