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Finding the Fourth Proportional to 94,258, 130,076.31 and 51,816.84

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Solution

The fourth proportional to 94,258, 130,076.31 and 51,816.84 is: 71,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,258 : 130,076.31 = 51,816.84 : x
  2. Step 2: Convert to fraction form
    94,258/130,076.31 = 51,816.84/x
  3. Step 3: Cross multiply
    94,258x = 130,076.31 × 51,816.84
  4. Step 4: Simplify right side
    94,258x = 6,740,143,343.06
  5. Step 5: Solve for x
    x = 6,740,143,343.06/94,258
  6. Step 6: Final answer
    x = 71,507.39

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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.