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Finding the Fourth Proportional to 76,946.96, 115,461.06 and 54,602.01

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Solution

The fourth proportional to 76,946.96, 115,461.06 and 54,602.01 is: 81,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946.96 : 115,461.06 = 54,602.01 : x
  2. Step 2: Convert to fraction form
    76,946.96/115,461.06 = 54,602.01/x
  3. Step 3: Cross multiply
    76,946.96x = 115,461.06 × 54,602.01
  4. Step 4: Simplify right side
    76,946.96x = 6,304,405,952.73
  5. Step 5: Solve for x
    x = 6,304,405,952.73/76,946.96
  6. Step 6: Final answer
    x = 81,931.84

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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.