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Finding the Fourth Proportional to 60,577.68, 83,597.64 and 33,721.32

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Solution

The fourth proportional to 60,577.68, 83,597.64 and 33,721.32 is: 46,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,577.68 : 83,597.64 = 33,721.32 : x
  2. Step 2: Convert to fraction form
    60,577.68/83,597.64 = 33,721.32/x
  3. Step 3: Cross multiply
    60,577.68x = 83,597.64 × 33,721.32
  4. Step 4: Simplify right side
    60,577.68x = 2,819,022,769.68
  5. Step 5: Solve for x
    x = 2,819,022,769.68/60,577.68
  6. Step 6: Final answer
    x = 46,535.67

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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.