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Finding the Fourth Proportional to 94,730.71, 141,995.95 and 31,533.97

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Solution

The fourth proportional to 94,730.71, 141,995.95 and 31,533.97 is: 47,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,730.71 : 141,995.95 = 31,533.97 : x
  2. Step 2: Convert to fraction form
    94,730.71/141,995.95 = 31,533.97/x
  3. Step 3: Cross multiply
    94,730.71x = 141,995.95 × 31,533.97
  4. Step 4: Simplify right side
    94,730.71x = 4,477,696,027.42
  5. Step 5: Solve for x
    x = 4,477,696,027.42/94,730.71
  6. Step 6: Final answer
    x = 47,267.63

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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.