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Finding the Fourth Proportional to 75,424.40, 112,877.40 and 52,096.40

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Solution

The fourth proportional to 75,424.40, 112,877.40 and 52,096.40 is: 77,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424.40 : 112,877.40 = 52,096.40 : x
  2. Step 2: Convert to fraction form
    75,424.40/112,877.40 = 52,096.40/x
  3. Step 3: Cross multiply
    75,424.40x = 112,877.40 × 52,096.40
  4. Step 4: Simplify right side
    75,424.40x = 5,880,506,181.36
  5. Step 5: Solve for x
    x = 5,880,506,181.36/75,424.40
  6. Step 6: Final answer
    x = 77,965.57

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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.