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Finding the Fourth Proportional to 46,952.54, 70,431.38 and 11,892.50

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Solution

The fourth proportional to 46,952.54, 70,431.38 and 11,892.50 is: 17,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.54 : 70,431.38 = 11,892.50 : x
  2. Step 2: Convert to fraction form
    46,952.54/70,431.38 = 11,892.50/x
  3. Step 3: Cross multiply
    46,952.54x = 70,431.38 × 11,892.50
  4. Step 4: Simplify right side
    46,952.54x = 837,605,186.65
  5. Step 5: Solve for x
    x = 837,605,186.65/46,952.54
  6. Step 6: Final answer
    x = 17,839.40

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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.