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Finding the Fourth Proportional to 32,946.60, 49,424.62 and 10,754.50

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Solution

The fourth proportional to 32,946.60, 49,424.62 and 10,754.50 is: 16,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.60 : 49,424.62 = 10,754.50 : x
  2. Step 2: Convert to fraction form
    32,946.60/49,424.62 = 10,754.50/x
  3. Step 3: Cross multiply
    32,946.60x = 49,424.62 × 10,754.50
  4. Step 4: Simplify right side
    32,946.60x = 531,537,075.79
  5. Step 5: Solve for x
    x = 531,537,075.79/32,946.60
  6. Step 6: Final answer
    x = 16,133.29

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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.