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Finding the Fourth Proportional to 32,459.19, 48,688.78 and 7,835.19

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Solution

The fourth proportional to 32,459.19, 48,688.78 and 7,835.19 is: 11,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.19 : 48,688.78 = 7,835.19 : x
  2. Step 2: Convert to fraction form
    32,459.19/48,688.78 = 7,835.19/x
  3. Step 3: Cross multiply
    32,459.19x = 48,688.78 × 7,835.19
  4. Step 4: Simplify right side
    32,459.19x = 381,485,598.72
  5. Step 5: Solve for x
    x = 381,485,598.72/32,459.19
  6. Step 6: Final answer
    x = 11,752.78

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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.