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Finding the Fourth Proportional to 94,463.34, 130,359.42 and 52,021.50

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Solution

The fourth proportional to 94,463.34, 130,359.42 and 52,021.50 is: 71,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,463.34 : 130,359.42 = 52,021.50 : x
  2. Step 2: Convert to fraction form
    94,463.34/130,359.42 = 52,021.50/x
  3. Step 3: Cross multiply
    94,463.34x = 130,359.42 × 52,021.50
  4. Step 4: Simplify right side
    94,463.34x = 6,781,492,567.53
  5. Step 5: Solve for x
    x = 6,781,492,567.53/94,463.34
  6. Step 6: Final answer
    x = 71,789.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.