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Finding the Fourth Proportional to 129,522, 194,283 and 36,030.18

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Solution

The fourth proportional to 129,522, 194,283 and 36,030.18 is: 54,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,522 : 194,283 = 36,030.18 : x
  2. Step 2: Convert to fraction form
    129,522/194,283 = 36,030.18/x
  3. Step 3: Cross multiply
    129,522x = 194,283 × 36,030.18
  4. Step 4: Simplify right side
    129,522x = 7,000,051,460.94
  5. Step 5: Solve for x
    x = 7,000,051,460.94/129,522
  6. Step 6: Final answer
    x = 54,045.27

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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.