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Finding the Fourth Proportional to 48,010.12, 72,017.91 and 12,952.51

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Solution

The fourth proportional to 48,010.12, 72,017.91 and 12,952.51 is: 19,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,010.12 : 72,017.91 = 12,952.51 : x
  2. Step 2: Convert to fraction form
    48,010.12/72,017.91 = 12,952.51/x
  3. Step 3: Cross multiply
    48,010.12x = 72,017.91 × 12,952.51
  4. Step 4: Simplify right side
    48,010.12x = 932,812,519.41
  5. Step 5: Solve for x
    x = 932,812,519.41/48,010.12
  6. Step 6: Final answer
    x = 19,429.50

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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.