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Finding the Fourth Proportional to 32,444.77, 48,667.16 and 7,820.77

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Solution

The fourth proportional to 32,444.77, 48,667.16 and 7,820.77 is: 11,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444.77 : 48,667.16 = 7,820.77 : x
  2. Step 2: Convert to fraction form
    32,444.77/48,667.16 = 7,820.77/x
  3. Step 3: Cross multiply
    32,444.77x = 48,667.16 × 7,820.77
  4. Step 4: Simplify right side
    32,444.77x = 380,614,625.81
  5. Step 5: Solve for x
    x = 380,614,625.81/32,444.77
  6. Step 6: Final answer
    x = 11,731.16

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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.