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Finding the Fourth Proportional to 94,095.60, 129,851.76 and 51,654

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Solution

The fourth proportional to 94,095.60, 129,851.76 and 51,654 is: 71,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,095.60 : 129,851.76 = 51,654 : x
  2. Step 2: Convert to fraction form
    94,095.60/129,851.76 = 51,654/x
  3. Step 3: Cross multiply
    94,095.60x = 129,851.76 × 51,654
  4. Step 4: Simplify right side
    94,095.60x = 6,707,362,811.04
  5. Step 5: Solve for x
    x = 6,707,362,811.04/94,095.60
  6. Step 6: Final answer
    x = 71,282.43

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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.