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Finding the Fourth Proportional to 48,070, 72,130.92 and 23,446

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Solution

The fourth proportional to 48,070, 72,130.92 and 23,446 is: 35,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 72,130.92 = 23,446 : x
  2. Step 2: Convert to fraction form
    48,070/72,130.92 = 23,446/x
  3. Step 3: Cross multiply
    48,070x = 72,130.92 × 23,446
  4. Step 4: Simplify right side
    48,070x = 1,691,181,550.32
  5. Step 5: Solve for x
    x = 1,691,181,550.32/48,070
  6. Step 6: Final answer
    x = 35,181.64

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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.