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Finding the Fourth Proportional to 46,027.64, 63,478.80 and 31,710.32

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Solution

The fourth proportional to 46,027.64, 63,478.80 and 31,710.32 is: 43,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,027.64 : 63,478.80 = 31,710.32 : x
  2. Step 2: Convert to fraction form
    46,027.64/63,478.80 = 31,710.32/x
  3. Step 3: Cross multiply
    46,027.64x = 63,478.80 × 31,710.32
  4. Step 4: Simplify right side
    46,027.64x = 2,012,933,061.22
  5. Step 5: Solve for x
    x = 2,012,933,061.22/46,027.64
  6. Step 6: Final answer
    x = 43,733.14

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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.