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Finding the Fourth Proportional to 53,338.08, 80,006 and 13,894.32

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Solution

The fourth proportional to 53,338.08, 80,006 and 13,894.32 is: 20,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338.08 : 80,006 = 13,894.32 : x
  2. Step 2: Convert to fraction form
    53,338.08/80,006 = 13,894.32/x
  3. Step 3: Cross multiply
    53,338.08x = 80,006 × 13,894.32
  4. Step 4: Simplify right side
    53,338.08x = 1,111,628,965.92
  5. Step 5: Solve for x
    x = 1,111,628,965.92/53,338.08
  6. Step 6: Final answer
    x = 20,841.19

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1.5x scale

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.