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Finding the Fourth Proportional to 94,430.64, 130,314.78 and 51,989.20

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Solution

The fourth proportional to 94,430.64, 130,314.78 and 51,989.20 is: 71,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,430.64 : 130,314.78 = 51,989.20 : x
  2. Step 2: Convert to fraction form
    94,430.64/130,314.78 = 51,989.20/x
  3. Step 3: Cross multiply
    94,430.64x = 130,314.78 × 51,989.20
  4. Step 4: Simplify right side
    94,430.64x = 6,774,961,160.38
  5. Step 5: Solve for x
    x = 6,774,961,160.38/94,430.64
  6. Step 6: Final answer
    x = 71,745.37

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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.