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Finding the Fourth Proportional to 30,973.70, 46,454.86 and 14,102.71

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Solution

The fourth proportional to 30,973.70, 46,454.86 and 14,102.71 is: 21,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.70 : 46,454.86 = 14,102.71 : x
  2. Step 2: Convert to fraction form
    30,973.70/46,454.86 = 14,102.71/x
  3. Step 3: Cross multiply
    30,973.70x = 46,454.86 × 14,102.71
  4. Step 4: Simplify right side
    30,973.70x = 655,139,418.67
  5. Step 5: Solve for x
    x = 655,139,418.67/30,973.70
  6. Step 6: Final answer
    x = 21,151.47

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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.