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Finding the Fourth Proportional to 30,959.61, 46,432.14 and 9,901.53

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Solution

The fourth proportional to 30,959.61, 46,432.14 and 9,901.53 is: 14,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.61 : 46,432.14 = 9,901.53 : x
  2. Step 2: Convert to fraction form
    30,959.61/46,432.14 = 9,901.53/x
  3. Step 3: Cross multiply
    30,959.61x = 46,432.14 × 9,901.53
  4. Step 4: Simplify right side
    30,959.61x = 459,749,227.17
  5. Step 5: Solve for x
    x = 459,749,227.17/30,959.61
  6. Step 6: Final answer
    x = 14,849.97

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1.5x scale

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.