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Finding the Fourth Proportional to 34,465.10, 51,690.74 and 9,498.74

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Solution

The fourth proportional to 34,465.10, 51,690.74 and 9,498.74 is: 14,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465.10 : 51,690.74 = 9,498.74 : x
  2. Step 2: Convert to fraction form
    34,465.10/51,690.74 = 9,498.74/x
  3. Step 3: Cross multiply
    34,465.10x = 51,690.74 × 9,498.74
  4. Step 4: Simplify right side
    34,465.10x = 490,996,899.67
  5. Step 5: Solve for x
    x = 490,996,899.67/34,465.10
  6. Step 6: Final answer
    x = 14,246.21

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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.