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Finding the Fourth Proportional to 35,030.40, 52,554 and 10,069.94

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Solution

The fourth proportional to 35,030.40, 52,554 and 10,069.94 is: 15,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,030.40 : 52,554 = 10,069.94 : x
  2. Step 2: Convert to fraction form
    35,030.40/52,554 = 10,069.94/x
  3. Step 3: Cross multiply
    35,030.40x = 52,554 × 10,069.94
  4. Step 4: Simplify right side
    35,030.40x = 529,215,626.76
  5. Step 5: Solve for x
    x = 529,215,626.76/35,030.40
  6. Step 6: Final answer
    x = 15,107.32

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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.