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Finding the Fourth Proportional to 76,476, 114,692.10 and 32,112.72

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Solution

The fourth proportional to 76,476, 114,692.10 and 32,112.72 is: 48,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476 : 114,692.10 = 32,112.72 : x
  2. Step 2: Convert to fraction form
    76,476/114,692.10 = 32,112.72/x
  3. Step 3: Cross multiply
    76,476x = 114,692.10 × 32,112.72
  4. Step 4: Simplify right side
    76,476x = 3,683,075,293.51
  5. Step 5: Solve for x
    x = 3,683,075,293.51/76,476
  6. Step 6: Final answer
    x = 48,159.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.