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Finding the Fourth Proportional to 32,376.51, 48,570.74 and 12,653.82

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Solution

The fourth proportional to 32,376.51, 48,570.74 and 12,653.82 is: 18,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,376.51 : 48,570.74 = 12,653.82 : x
  2. Step 2: Convert to fraction form
    32,376.51/48,570.74 = 12,653.82/x
  3. Step 3: Cross multiply
    32,376.51x = 48,570.74 × 12,653.82
  4. Step 4: Simplify right side
    32,376.51x = 614,605,385.41
  5. Step 5: Solve for x
    x = 614,605,385.41/32,376.51
  6. Step 6: Final answer
    x = 18,983.06

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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.