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Finding the Fourth Proportional to 48,643.90, 73,023.45 and 48,298.30

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Solution

The fourth proportional to 48,643.90, 73,023.45 and 48,298.30 is: 72,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.90 : 73,023.45 = 48,298.30 : x
  2. Step 2: Convert to fraction form
    48,643.90/73,023.45 = 48,298.30/x
  3. Step 3: Cross multiply
    48,643.90x = 73,023.45 × 48,298.30
  4. Step 4: Simplify right side
    48,643.90x = 3,526,908,495.14
  5. Step 5: Solve for x
    x = 3,526,908,495.14/48,643.90
  6. Step 6: Final answer
    x = 72,504.64

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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.