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Finding the Fourth Proportional to 90,343.56, 135,598.52 and 46,002

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Solution

The fourth proportional to 90,343.56, 135,598.52 and 46,002 is: 69,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,343.56 : 135,598.52 = 46,002 : x
  2. Step 2: Convert to fraction form
    90,343.56/135,598.52 = 46,002/x
  3. Step 3: Cross multiply
    90,343.56x = 135,598.52 × 46,002
  4. Step 4: Simplify right side
    90,343.56x = 6,237,803,117.04
  5. Step 5: Solve for x
    x = 6,237,803,117.04/90,343.56
  6. Step 6: Final answer
    x = 69,045.35

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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.