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Finding the Fourth Proportional to 46,626.30, 64,368 and 31,598.28

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Solution

The fourth proportional to 46,626.30, 64,368 and 31,598.28 is: 43,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,626.30 : 64,368 = 31,598.28 : x
  2. Step 2: Convert to fraction form
    46,626.30/64,368 = 31,598.28/x
  3. Step 3: Cross multiply
    46,626.30x = 64,368 × 31,598.28
  4. Step 4: Simplify right side
    46,626.30x = 2,033,918,087.04
  5. Step 5: Solve for x
    x = 2,033,918,087.04/46,626.30
  6. Step 6: Final answer
    x = 43,621.69

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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.