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Finding the Fourth Proportional to 46,617.72, 64,384.86 and 31,484.10

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Solution

The fourth proportional to 46,617.72, 64,384.86 and 31,484.10 is: 43,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,617.72 : 64,384.86 = 31,484.10 : x
  2. Step 2: Convert to fraction form
    46,617.72/64,384.86 = 31,484.10/x
  3. Step 3: Cross multiply
    46,617.72x = 64,384.86 × 31,484.10
  4. Step 4: Simplify right side
    46,617.72x = 2,027,099,370.73
  5. Step 5: Solve for x
    x = 2,027,099,370.73/46,617.72
  6. Step 6: Final answer
    x = 43,483.45

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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.