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Finding the Fourth Proportional to 30,711.02, 46,073.00 and 9,949.10

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Solution

The fourth proportional to 30,711.02, 46,073.00 and 9,949.10 is: 14,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.02 : 46,073.00 = 9,949.10 : x
  2. Step 2: Convert to fraction form
    30,711.02/46,073.00 = 9,949.10/x
  3. Step 3: Cross multiply
    30,711.02x = 46,073.00 × 9,949.10
  4. Step 4: Simplify right side
    30,711.02x = 458,384,678.81
  5. Step 5: Solve for x
    x = 458,384,678.81/30,711.02
  6. Step 6: Final answer
    x = 14,925.74

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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.