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Finding the Fourth Proportional to 32,005.68, 48,018.48 and 10,946.32

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Solution

The fourth proportional to 32,005.68, 48,018.48 and 10,946.32 is: 16,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.68 : 48,018.48 = 10,946.32 : x
  2. Step 2: Convert to fraction form
    32,005.68/48,018.48 = 10,946.32/x
  3. Step 3: Cross multiply
    32,005.68x = 48,018.48 × 10,946.32
  4. Step 4: Simplify right side
    32,005.68x = 525,625,647.99
  5. Step 5: Solve for x
    x = 525,625,647.99/32,005.68
  6. Step 6: Final answer
    x = 16,422.89

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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.