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Finding the Fourth Proportional to 94,602.74, 141,869.48 and 31,411.40

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Solution

The fourth proportional to 94,602.74, 141,869.48 and 31,411.40 is: 47,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,602.74 : 141,869.48 = 31,411.40 : x
  2. Step 2: Convert to fraction form
    94,602.74/141,869.48 = 31,411.40/x
  3. Step 3: Cross multiply
    94,602.74x = 141,869.48 × 31,411.40
  4. Step 4: Simplify right side
    94,602.74x = 4,456,318,117.67
  5. Step 5: Solve for x
    x = 4,456,318,117.67/94,602.74
  6. Step 6: Final answer
    x = 47,105.59

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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.