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Finding the Fourth Proportional to 74,275.13, 102,499.73 and 40,283.60

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Solution

The fourth proportional to 74,275.13, 102,499.73 and 40,283.60 is: 55,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,275.13 : 102,499.73 = 40,283.60 : x
  2. Step 2: Convert to fraction form
    74,275.13/102,499.73 = 40,283.60/x
  3. Step 3: Cross multiply
    74,275.13x = 102,499.73 × 40,283.60
  4. Step 4: Simplify right side
    74,275.13x = 4,129,057,409.51
  5. Step 5: Solve for x
    x = 4,129,057,409.51/74,275.13
  6. Step 6: Final answer
    x = 55,591.39

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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.