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Finding the Fourth Proportional to 32,465.78, 48,698.70 and 7,841.78

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Solution

The fourth proportional to 32,465.78, 48,698.70 and 7,841.78 is: 11,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.78 : 48,698.70 = 7,841.78 : x
  2. Step 2: Convert to fraction form
    32,465.78/48,698.70 = 7,841.78/x
  3. Step 3: Cross multiply
    32,465.78x = 48,698.70 × 7,841.78
  4. Step 4: Simplify right side
    32,465.78x = 381,884,491.69
  5. Step 5: Solve for x
    x = 381,884,491.69/32,465.78
  6. Step 6: Final answer
    x = 11,762.68

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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.