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Finding the Fourth Proportional to 47,552.28, 65,643.34 and 31,429.30

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Solution

The fourth proportional to 47,552.28, 65,643.34 and 31,429.30 is: 43,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,552.28 : 65,643.34 = 31,429.30 : x
  2. Step 2: Convert to fraction form
    47,552.28/65,643.34 = 31,429.30/x
  3. Step 3: Cross multiply
    47,552.28x = 65,643.34 × 31,429.30
  4. Step 4: Simplify right side
    47,552.28x = 2,063,124,225.86
  5. Step 5: Solve for x
    x = 2,063,124,225.86/47,552.28
  6. Step 6: Final answer
    x = 43,386.44

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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.