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Finding the Fourth Proportional to 32,081.51, 48,124.70 and 8,709.77

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Solution

The fourth proportional to 32,081.51, 48,124.70 and 8,709.77 is: 13,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.51 : 48,124.70 = 8,709.77 : x
  2. Step 2: Convert to fraction form
    32,081.51/48,124.70 = 8,709.77/x
  3. Step 3: Cross multiply
    32,081.51x = 48,124.70 × 8,709.77
  4. Step 4: Simplify right side
    32,081.51x = 419,155,068.32
  5. Step 5: Solve for x
    x = 419,155,068.32/32,081.51
  6. Step 6: Final answer
    x = 13,065.32

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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.