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Finding the Fourth Proportional to 51,762.68, 77,742.44 and 32,178.09

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Solution

The fourth proportional to 51,762.68, 77,742.44 and 32,178.09 is: 48,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.68 : 77,742.44 = 32,178.09 : x
  2. Step 2: Convert to fraction form
    51,762.68/77,742.44 = 32,178.09/x
  3. Step 3: Cross multiply
    51,762.68x = 77,742.44 × 32,178.09
  4. Step 4: Simplify right side
    51,762.68x = 2,501,603,482.45
  5. Step 5: Solve for x
    x = 2,501,603,482.45/51,762.68
  6. Step 6: Final answer
    x = 48,328.32

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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.