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Finding the Fourth Proportional to 46,513.98, 69,690.70 and 25,469.16

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Solution

The fourth proportional to 46,513.98, 69,690.70 and 25,469.16 is: 38,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,513.98 : 69,690.70 = 25,469.16 : x
  2. Step 2: Convert to fraction form
    46,513.98/69,690.70 = 25,469.16/x
  3. Step 3: Cross multiply
    46,513.98x = 69,690.70 × 25,469.16
  4. Step 4: Simplify right side
    46,513.98x = 1,774,963,588.81
  5. Step 5: Solve for x
    x = 1,774,963,588.81/46,513.98
  6. Step 6: Final answer
    x = 38,159.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.