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Finding the Fourth Proportional to 46,700.65, 64,371.61 and 31,587.80

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Solution

The fourth proportional to 46,700.65, 64,371.61 and 31,587.80 is: 43,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,700.65 : 64,371.61 = 31,587.80 : x
  2. Step 2: Convert to fraction form
    46,700.65/64,371.61 = 31,587.80/x
  3. Step 3: Cross multiply
    46,700.65x = 64,371.61 × 31,587.80
  4. Step 4: Simplify right side
    46,700.65x = 2,033,357,441.03
  5. Step 5: Solve for x
    x = 2,033,357,441.03/46,700.65
  6. Step 6: Final answer
    x = 43,540.24

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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.