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Finding the Fourth Proportional to 46,392.50, 69,593.32 and 13,112.82

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Solution

The fourth proportional to 46,392.50, 69,593.32 and 13,112.82 is: 19,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,392.50 : 69,593.32 = 13,112.82 : x
  2. Step 2: Convert to fraction form
    46,392.50/69,593.32 = 13,112.82/x
  3. Step 3: Cross multiply
    46,392.50x = 69,593.32 × 13,112.82
  4. Step 4: Simplify right side
    46,392.50x = 912,564,678.36
  5. Step 5: Solve for x
    x = 912,564,678.36/46,392.50
  6. Step 6: Final answer
    x = 19,670.52

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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.