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Finding the Fourth Proportional to 35,602, 53,368.06 and 19,814.59

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Solution

The fourth proportional to 35,602, 53,368.06 and 19,814.59 is: 29,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602 : 53,368.06 = 19,814.59 : x
  2. Step 2: Convert to fraction form
    35,602/53,368.06 = 19,814.59/x
  3. Step 3: Cross multiply
    35,602x = 53,368.06 × 19,814.59
  4. Step 4: Simplify right side
    35,602x = 1,057,466,228.00
  5. Step 5: Solve for x
    x = 1,057,466,228.00/35,602
  6. Step 6: Final answer
    x = 29,702.44

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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.