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Finding the Fourth Proportional to 53,111, 79,666.50 and 16,175

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Solution

The fourth proportional to 53,111, 79,666.50 and 16,175 is: 24,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,111 : 79,666.50 = 16,175 : x
  2. Step 2: Convert to fraction form
    53,111/79,666.50 = 16,175/x
  3. Step 3: Cross multiply
    53,111x = 79,666.50 × 16,175
  4. Step 4: Simplify right side
    53,111x = 1,288,605,637.50
  5. Step 5: Solve for x
    x = 1,288,605,637.50/53,111
  6. Step 6: Final answer
    x = 24,262.50

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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.