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Finding the Fourth Proportional to 65,002.40, 89,745 and 53,094.32

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Solution

The fourth proportional to 65,002.40, 89,745 and 53,094.32 is: 73,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.40 : 89,745 = 53,094.32 : x
  2. Step 2: Convert to fraction form
    65,002.40/89,745 = 53,094.32/x
  3. Step 3: Cross multiply
    65,002.40x = 89,745 × 53,094.32
  4. Step 4: Simplify right side
    65,002.40x = 4,764,949,748.40
  5. Step 5: Solve for x
    x = 4,764,949,748.40/65,002.40
  6. Step 6: Final answer
    x = 73,304.21

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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.