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Finding the Fourth Proportional to 36,012.32, 53,841 and 30,527

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Solution

The fourth proportional to 36,012.32, 53,841 and 30,527 is: 45,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,012.32 : 53,841 = 30,527 : x
  2. Step 2: Convert to fraction form
    36,012.32/53,841 = 30,527/x
  3. Step 3: Cross multiply
    36,012.32x = 53,841 × 30,527
  4. Step 4: Simplify right side
    36,012.32x = 1,643,604,207
  5. Step 5: Solve for x
    x = 1,643,604,207/36,012.32
  6. Step 6: Final answer
    x = 45,640.05

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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.