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Finding the Fourth Proportional to 114,586.60, 171,860.06 and 31,461.16

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Solution

The fourth proportional to 114,586.60, 171,860.06 and 31,461.16 is: 47,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586.60 : 171,860.06 = 31,461.16 : x
  2. Step 2: Convert to fraction form
    114,586.60/171,860.06 = 31,461.16/x
  3. Step 3: Cross multiply
    114,586.60x = 171,860.06 × 31,461.16
  4. Step 4: Simplify right side
    114,586.60x = 5,406,916,845.27
  5. Step 5: Solve for x
    x = 5,406,916,845.27/114,586.60
  6. Step 6: Final answer
    x = 47,186.29

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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.