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Finding the Fourth Proportional to 35,702.47, 49,267 and 19,569.59

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Solution

The fourth proportional to 35,702.47, 49,267 and 19,569.59 is: 27,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.47 : 49,267 = 19,569.59 : x
  2. Step 2: Convert to fraction form
    35,702.47/49,267 = 19,569.59/x
  3. Step 3: Cross multiply
    35,702.47x = 49,267 × 19,569.59
  4. Step 4: Simplify right side
    35,702.47x = 964,134,990.53
  5. Step 5: Solve for x
    x = 964,134,990.53/35,702.47
  6. Step 6: Final answer
    x = 27,004.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.