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Finding the Fourth Proportional to 93,534.47, 129,072.75 and 51,084.80

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Solution

The fourth proportional to 93,534.47, 129,072.75 and 51,084.80 is: 70,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,534.47 : 129,072.75 = 51,084.80 : x
  2. Step 2: Convert to fraction form
    93,534.47/129,072.75 = 51,084.80/x
  3. Step 3: Cross multiply
    93,534.47x = 129,072.75 × 51,084.80
  4. Step 4: Simplify right side
    93,534.47x = 6,593,655,619.20
  5. Step 5: Solve for x
    x = 6,593,655,619.20/93,534.47
  6. Step 6: Final answer
    x = 70,494.39

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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.