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Finding the Fourth Proportional to 39,703.80, 59,533.02 and 16,311

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Solution

The fourth proportional to 39,703.80, 59,533.02 and 16,311 is: 24,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,703.80 : 59,533.02 = 16,311 : x
  2. Step 2: Convert to fraction form
    39,703.80/59,533.02 = 16,311/x
  3. Step 3: Cross multiply
    39,703.80x = 59,533.02 × 16,311
  4. Step 4: Simplify right side
    39,703.80x = 971,043,089.22
  5. Step 5: Solve for x
    x = 971,043,089.22/39,703.80
  6. Step 6: Final answer
    x = 24,457.18

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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.