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Finding the Fourth Proportional to 114,038.28, 171,045.27 and 35,143.88

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Solution

The fourth proportional to 114,038.28, 171,045.27 and 35,143.88 is: 52,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,038.28 : 171,045.27 = 35,143.88 : x
  2. Step 2: Convert to fraction form
    114,038.28/171,045.27 = 35,143.88/x
  3. Step 3: Cross multiply
    114,038.28x = 171,045.27 × 35,143.88
  4. Step 4: Simplify right side
    114,038.28x = 6,011,193,588.22
  5. Step 5: Solve for x
    x = 6,011,193,588.22/114,038.28
  6. Step 6: Final answer
    x = 52,712.07

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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.