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Finding the Fourth Proportional to 35,797.04, 53,702.16 and 11,782.70

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Solution

The fourth proportional to 35,797.04, 53,702.16 and 11,782.70 is: 17,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.04 : 53,702.16 = 11,782.70 : x
  2. Step 2: Convert to fraction form
    35,797.04/53,702.16 = 11,782.70/x
  3. Step 3: Cross multiply
    35,797.04x = 53,702.16 × 11,782.70
  4. Step 4: Simplify right side
    35,797.04x = 632,756,428.74
  5. Step 5: Solve for x
    x = 632,756,428.74/35,797.04
  6. Step 6: Final answer
    x = 17,676.22

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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.