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Finding the Fourth Proportional to 46,657.40, 64,336.34 and 31,523.78

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Solution

The fourth proportional to 46,657.40, 64,336.34 and 31,523.78 is: 43,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.40 : 64,336.34 = 31,523.78 : x
  2. Step 2: Convert to fraction form
    46,657.40/64,336.34 = 31,523.78/x
  3. Step 3: Cross multiply
    46,657.40x = 64,336.34 × 31,523.78
  4. Step 4: Simplify right side
    46,657.40x = 2,028,124,628.17
  5. Step 5: Solve for x
    x = 2,028,124,628.17/46,657.40
  6. Step 6: Final answer
    x = 43,468.45

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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.