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Finding the Fourth Proportional to 83,145.36, 114,736.32 and 45,412.32

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Solution

The fourth proportional to 83,145.36, 114,736.32 and 45,412.32 is: 62,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.36 : 114,736.32 = 45,412.32 : x
  2. Step 2: Convert to fraction form
    83,145.36/114,736.32 = 45,412.32/x
  3. Step 3: Cross multiply
    83,145.36x = 114,736.32 × 45,412.32
  4. Step 4: Simplify right side
    83,145.36x = 5,210,442,479.46
  5. Step 5: Solve for x
    x = 5,210,442,479.46/83,145.36
  6. Step 6: Final answer
    x = 62,666.67

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