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Finding the Fourth Proportional to 114,698, 172,061.58 and 31,592

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Solution

The fourth proportional to 114,698, 172,061.58 and 31,592 is: 47,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,698 : 172,061.58 = 31,592 : x
  2. Step 2: Convert to fraction form
    114,698/172,061.58 = 31,592/x
  3. Step 3: Cross multiply
    114,698x = 172,061.58 × 31,592
  4. Step 4: Simplify right side
    114,698x = 5,435,769,435.36
  5. Step 5: Solve for x
    x = 5,435,769,435.36/114,698
  6. Step 6: Final answer
    x = 47,392.02

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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.