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Finding the Fourth Proportional to 115,407.12, 173,131.74 and 53,076

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Solution

The fourth proportional to 115,407.12, 173,131.74 and 53,076 is: 79,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,407.12 : 173,131.74 = 53,076 : x
  2. Step 2: Convert to fraction form
    115,407.12/173,131.74 = 53,076/x
  3. Step 3: Cross multiply
    115,407.12x = 173,131.74 × 53,076
  4. Step 4: Simplify right side
    115,407.12x = 9,189,140,232.24
  5. Step 5: Solve for x
    x = 9,189,140,232.24/115,407.12
  6. Step 6: Final answer
    x = 79,623.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.