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Finding the Fourth Proportional to 35,030.40, 52,535.87 and 9,724.10

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Solution

The fourth proportional to 35,030.40, 52,535.87 and 9,724.10 is: 14,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,030.40 : 52,535.87 = 9,724.10 : x
  2. Step 2: Convert to fraction form
    35,030.40/52,535.87 = 9,724.10/x
  3. Step 3: Cross multiply
    35,030.40x = 52,535.87 × 9,724.10
  4. Step 4: Simplify right side
    35,030.40x = 510,863,778.63
  5. Step 5: Solve for x
    x = 510,863,778.63/35,030.40
  6. Step 6: Final answer
    x = 14,583.44

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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.