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Finding the Fourth Proportional to 51,646.52, 77,460.46 and 13,696.04

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Solution

The fourth proportional to 51,646.52, 77,460.46 and 13,696.04 is: 20,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.52 : 77,460.46 = 13,696.04 : x
  2. Step 2: Convert to fraction form
    51,646.52/77,460.46 = 13,696.04/x
  3. Step 3: Cross multiply
    51,646.52x = 77,460.46 × 13,696.04
  4. Step 4: Simplify right side
    51,646.52x = 1,060,901,558.58
  5. Step 5: Solve for x
    x = 1,060,901,558.58/51,646.52
  6. Step 6: Final answer
    x = 20,541.59

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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.