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Finding the Fourth Proportional to 51,716, 71,368.08 and 28,164

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Solution

The fourth proportional to 51,716, 71,368.08 and 28,164 is: 38,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716 : 71,368.08 = 28,164 : x
  2. Step 2: Convert to fraction form
    51,716/71,368.08 = 28,164/x
  3. Step 3: Cross multiply
    51,716x = 71,368.08 × 28,164
  4. Step 4: Simplify right side
    51,716x = 2,010,010,605.12
  5. Step 5: Solve for x
    x = 2,010,010,605.12/51,716
  6. Step 6: Final answer
    x = 38,866.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.