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Finding the Fourth Proportional to 32,444.50, 48,666.75 and 7,820.50

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Solution

The fourth proportional to 32,444.50, 48,666.75 and 7,820.50 is: 11,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444.50 : 48,666.75 = 7,820.50 : x
  2. Step 2: Convert to fraction form
    32,444.50/48,666.75 = 7,820.50/x
  3. Step 3: Cross multiply
    32,444.50x = 48,666.75 × 7,820.50
  4. Step 4: Simplify right side
    32,444.50x = 380,598,318.38
  5. Step 5: Solve for x
    x = 380,598,318.38/32,444.50
  6. Step 6: Final answer
    x = 11,730.75

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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.