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Finding the Fourth Proportional to 35,205.40, 52,710.90 and 27,429.40

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Solution

The fourth proportional to 35,205.40, 52,710.90 and 27,429.40 is: 41,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205.40 : 52,710.90 = 27,429.40 : x
  2. Step 2: Convert to fraction form
    35,205.40/52,710.90 = 27,429.40/x
  3. Step 3: Cross multiply
    35,205.40x = 52,710.90 × 27,429.40
  4. Step 4: Simplify right side
    35,205.40x = 1,445,828,360.46
  5. Step 5: Solve for x
    x = 1,445,828,360.46/35,205.40
  6. Step 6: Final answer
    x = 41,068.37

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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.