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Finding the Fourth Proportional to 52,133, 78,193.96 and 14,692.08

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Solution

The fourth proportional to 52,133, 78,193.96 and 14,692.08 is: 22,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,133 : 78,193.96 = 14,692.08 : x
  2. Step 2: Convert to fraction form
    52,133/78,193.96 = 14,692.08/x
  3. Step 3: Cross multiply
    52,133x = 78,193.96 × 14,692.08
  4. Step 4: Simplify right side
    52,133x = 1,148,831,915.84
  5. Step 5: Solve for x
    x = 1,148,831,915.84/52,133
  6. Step 6: Final answer
    x = 22,036.56

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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.