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Finding the Fourth Proportional to 30,034.72, 45,040.88 and 10,307.68

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Solution

The fourth proportional to 30,034.72, 45,040.88 and 10,307.68 is: 15,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.72 : 45,040.88 = 10,307.68 : x
  2. Step 2: Convert to fraction form
    30,034.72/45,040.88 = 10,307.68/x
  3. Step 3: Cross multiply
    30,034.72x = 45,040.88 × 10,307.68
  4. Step 4: Simplify right side
    30,034.72x = 464,266,977.96
  5. Step 5: Solve for x
    x = 464,266,977.96/30,034.72
  6. Step 6: Final answer
    x = 15,457.68

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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.