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Finding the Fourth Proportional to 35,677.19, 49,234.52 and 19,762.66

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Solution

The fourth proportional to 35,677.19, 49,234.52 and 19,762.66 is: 27,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.19 : 49,234.52 = 19,762.66 : x
  2. Step 2: Convert to fraction form
    35,677.19/49,234.52 = 19,762.66/x
  3. Step 3: Cross multiply
    35,677.19x = 49,234.52 × 19,762.66
  4. Step 4: Simplify right side
    35,677.19x = 973,005,079.02
  5. Step 5: Solve for x
    x = 973,005,079.02/35,677.19
  6. Step 6: Final answer
    x = 27,272.47

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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.