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Finding the Fourth Proportional to 30,995.16, 46,491.54 and 9,934.68

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Solution

The fourth proportional to 30,995.16, 46,491.54 and 9,934.68 is: 14,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995.16 : 46,491.54 = 9,934.68 : x
  2. Step 2: Convert to fraction form
    30,995.16/46,491.54 = 9,934.68/x
  3. Step 3: Cross multiply
    30,995.16x = 46,491.54 × 9,934.68
  4. Step 4: Simplify right side
    30,995.16x = 461,878,572.61
  5. Step 5: Solve for x
    x = 461,878,572.61/30,995.16
  6. Step 6: Final answer
    x = 14,901.64

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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.