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Finding the Fourth Proportional to 106,330.63, 159,495.95 and 31,444.95

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Solution

The fourth proportional to 106,330.63, 159,495.95 and 31,444.95 is: 47,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,330.63 : 159,495.95 = 31,444.95 : x
  2. Step 2: Convert to fraction form
    106,330.63/159,495.95 = 31,444.95/x
  3. Step 3: Cross multiply
    106,330.63x = 159,495.95 × 31,444.95
  4. Step 4: Simplify right side
    106,330.63x = 5,015,341,415.49
  5. Step 5: Solve for x
    x = 5,015,341,415.49/106,330.63
  6. Step 6: Final answer
    x = 47,167.42

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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.