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Finding the Fourth Proportional to 114,816.96, 172,235.28 and 31,710.96

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Solution

The fourth proportional to 114,816.96, 172,235.28 and 31,710.96 is: 47,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,816.96 : 172,235.28 = 31,710.96 : x
  2. Step 2: Convert to fraction form
    114,816.96/172,235.28 = 31,710.96/x
  3. Step 3: Cross multiply
    114,816.96x = 172,235.28 × 31,710.96
  4. Step 4: Simplify right side
    114,816.96x = 5,461,746,074.67
  5. Step 5: Solve for x
    x = 5,461,746,074.67/114,816.96
  6. Step 6: Final answer
    x = 47,569.16

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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.