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Finding the Fourth Proportional to 46,489, 64,154.58 and 25,268.38

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Solution

The fourth proportional to 46,489, 64,154.58 and 25,268.38 is: 34,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489 : 64,154.58 = 25,268.38 : x
  2. Step 2: Convert to fraction form
    46,489/64,154.58 = 25,268.38/x
  3. Step 3: Cross multiply
    46,489x = 64,154.58 × 25,268.38
  4. Step 4: Simplify right side
    46,489x = 1,621,082,306.18
  5. Step 5: Solve for x
    x = 1,621,082,306.18/46,489
  6. Step 6: Final answer
    x = 34,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.