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Finding the Fourth Proportional to 114,869.32, 172,303.50 and 30,629.32

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Solution

The fourth proportional to 114,869.32, 172,303.50 and 30,629.32 is: 45,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,869.32 : 172,303.50 = 30,629.32 : x
  2. Step 2: Convert to fraction form
    114,869.32/172,303.50 = 30,629.32/x
  3. Step 3: Cross multiply
    114,869.32x = 172,303.50 × 30,629.32
  4. Step 4: Simplify right side
    114,869.32x = 5,277,539,038.62
  5. Step 5: Solve for x
    x = 5,277,539,038.62/114,869.32
  6. Step 6: Final answer
    x = 45,943.85

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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.