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Finding the Fourth Proportional to 115,534.72, 173,301.53 and 31,294.72

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Solution

The fourth proportional to 115,534.72, 173,301.53 and 31,294.72 is: 46,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,534.72 : 173,301.53 = 31,294.72 : x
  2. Step 2: Convert to fraction form
    115,534.72/173,301.53 = 31,294.72/x
  3. Step 3: Cross multiply
    115,534.72x = 173,301.53 × 31,294.72
  4. Step 4: Simplify right side
    115,534.72x = 5,423,421,990.41
  5. Step 5: Solve for x
    x = 5,423,421,990.41/115,534.72
  6. Step 6: Final answer
    x = 46,941.93

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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.