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Finding the Fourth Proportional to 73,047.12, 109,587.10 and 23,130.20

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Solution

The fourth proportional to 73,047.12, 109,587.10 and 23,130.20 is: 34,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,047.12 : 109,587.10 = 23,130.20 : x
  2. Step 2: Convert to fraction form
    73,047.12/109,587.10 = 23,130.20/x
  3. Step 3: Cross multiply
    73,047.12x = 109,587.10 × 23,130.20
  4. Step 4: Simplify right side
    73,047.12x = 2,534,771,540.42
  5. Step 5: Solve for x
    x = 2,534,771,540.42/73,047.12
  6. Step 6: Final answer
    x = 34,700.50

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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.