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Finding the Fourth Proportional to 31,070.88, 46,567.40 and 24,471

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Solution

The fourth proportional to 31,070.88, 46,567.40 and 24,471 is: 36,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.88 : 46,567.40 = 24,471 : x
  2. Step 2: Convert to fraction form
    31,070.88/46,567.40 = 24,471/x
  3. Step 3: Cross multiply
    31,070.88x = 46,567.40 × 24,471
  4. Step 4: Simplify right side
    31,070.88x = 1,139,550,845.40
  5. Step 5: Solve for x
    x = 1,139,550,845.40/31,070.88
  6. Step 6: Final answer
    x = 36,675.85

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