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Finding the Fourth Proportional to 32,053.74, 48,085.16 and 9,868.96

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Solution

The fourth proportional to 32,053.74, 48,085.16 and 9,868.96 is: 14,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.74 : 48,085.16 = 9,868.96 : x
  2. Step 2: Convert to fraction form
    32,053.74/48,085.16 = 9,868.96/x
  3. Step 3: Cross multiply
    32,053.74x = 48,085.16 × 9,868.96
  4. Step 4: Simplify right side
    32,053.74x = 474,550,520.63
  5. Step 5: Solve for x
    x = 474,550,520.63/32,053.74
  6. Step 6: Final answer
    x = 14,804.84

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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.