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Finding the Fourth Proportional to 115,056, 172,586.16 and 31,952.16

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Solution

The fourth proportional to 115,056, 172,586.16 and 31,952.16 is: 47,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,056 : 172,586.16 = 31,952.16 : x
  2. Step 2: Convert to fraction form
    115,056/172,586.16 = 31,952.16/x
  3. Step 3: Cross multiply
    115,056x = 172,586.16 × 31,952.16
  4. Step 4: Simplify right side
    115,056x = 5,514,500,598.11
  5. Step 5: Solve for x
    x = 5,514,500,598.11/115,056
  6. Step 6: Final answer
    x = 47,928.84

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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.