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Finding the Fourth Proportional to 114,547.80, 171,821.70 and 31,441.80

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Solution

The fourth proportional to 114,547.80, 171,821.70 and 31,441.80 is: 47,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,547.80 : 171,821.70 = 31,441.80 : x
  2. Step 2: Convert to fraction form
    114,547.80/171,821.70 = 31,441.80/x
  3. Step 3: Cross multiply
    114,547.80x = 171,821.70 × 31,441.80
  4. Step 4: Simplify right side
    114,547.80x = 5,402,383,527.06
  5. Step 5: Solve for x
    x = 5,402,383,527.06/114,547.80
  6. Step 6: Final answer
    x = 47,162.70

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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.