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Finding the Fourth Proportional to 46,983.66, 64,840.43 and 31,040.16

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Solution

The fourth proportional to 46,983.66, 64,840.43 and 31,040.16 is: 42,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,983.66 : 64,840.43 = 31,040.16 : x
  2. Step 2: Convert to fraction form
    46,983.66/64,840.43 = 31,040.16/x
  3. Step 3: Cross multiply
    46,983.66x = 64,840.43 × 31,040.16
  4. Step 4: Simplify right side
    46,983.66x = 2,012,657,166.47
  5. Step 5: Solve for x
    x = 2,012,657,166.47/46,983.66
  6. Step 6: Final answer
    x = 42,837.39

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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.