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Finding the Fourth Proportional to 80,074.16, 110,509.16 and 46,538

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Solution

The fourth proportional to 80,074.16, 110,509.16 and 46,538 is: 64,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,074.16 : 110,509.16 = 46,538 : x
  2. Step 2: Convert to fraction form
    80,074.16/110,509.16 = 46,538/x
  3. Step 3: Cross multiply
    80,074.16x = 110,509.16 × 46,538
  4. Step 4: Simplify right side
    80,074.16x = 5,142,875,288.08
  5. Step 5: Solve for x
    x = 5,142,875,288.08/80,074.16
  6. Step 6: Final answer
    x = 64,226.40

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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.