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Finding the Fourth Proportional to 32,813.40, 49,106.70 and 19,675.20

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Solution

The fourth proportional to 32,813.40, 49,106.70 and 19,675.20 is: 29,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.40 : 49,106.70 = 19,675.20 : x
  2. Step 2: Convert to fraction form
    32,813.40/49,106.70 = 19,675.20/x
  3. Step 3: Cross multiply
    32,813.40x = 49,106.70 × 19,675.20
  4. Step 4: Simplify right side
    32,813.40x = 966,184,143.84
  5. Step 5: Solve for x
    x = 966,184,143.84/32,813.40
  6. Step 6: Final answer
    x = 29,444.80

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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.