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Finding the Fourth Proportional to 115,422.64, 173,116.64 and 36,526.64

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Solution

The fourth proportional to 115,422.64, 173,116.64 and 36,526.64 is: 54,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422.64 : 173,116.64 = 36,526.64 : x
  2. Step 2: Convert to fraction form
    115,422.64/173,116.64 = 36,526.64/x
  3. Step 3: Cross multiply
    115,422.64x = 173,116.64 × 36,526.64
  4. Step 4: Simplify right side
    115,422.64x = 6,323,369,187.29
  5. Step 5: Solve for x
    x = 6,323,369,187.29/115,422.64
  6. Step 6: Final answer
    x = 54,784.48

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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.