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Finding the Fourth Proportional to 53,204.64, 73,422.90 and 29,332.16

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Solution

The fourth proportional to 53,204.64, 73,422.90 and 29,332.16 is: 40,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.64 : 73,422.90 = 29,332.16 : x
  2. Step 2: Convert to fraction form
    53,204.64/73,422.90 = 29,332.16/x
  3. Step 3: Cross multiply
    53,204.64x = 73,422.90 × 29,332.16
  4. Step 4: Simplify right side
    53,204.64x = 2,153,652,250.46
  5. Step 5: Solve for x
    x = 2,153,652,250.46/53,204.64
  6. Step 6: Final answer
    x = 40,478.65

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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.