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Finding the Fourth Proportional to 33,686.18, 46,483.74 and 19,537.50

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Solution

The fourth proportional to 33,686.18, 46,483.74 and 19,537.50 is: 26,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.18 : 46,483.74 = 19,537.50 : x
  2. Step 2: Convert to fraction form
    33,686.18/46,483.74 = 19,537.50/x
  3. Step 3: Cross multiply
    33,686.18x = 46,483.74 × 19,537.50
  4. Step 4: Simplify right side
    33,686.18x = 908,176,070.25
  5. Step 5: Solve for x
    x = 908,176,070.25/33,686.18
  6. Step 6: Final answer
    x = 26,959.90

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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.