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Finding the Fourth Proportional to 32,007.80, 48,004.02 and 16,417.40

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Solution

The fourth proportional to 32,007.80, 48,004.02 and 16,417.40 is: 24,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.80 : 48,004.02 = 16,417.40 : x
  2. Step 2: Convert to fraction form
    32,007.80/48,004.02 = 16,417.40/x
  3. Step 3: Cross multiply
    32,007.80x = 48,004.02 × 16,417.40
  4. Step 4: Simplify right side
    32,007.80x = 788,101,197.95
  5. Step 5: Solve for x
    x = 788,101,197.95/32,007.80
  6. Step 6: Final answer
    x = 24,622.16

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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.