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Finding the Fourth Proportional to 33,686.16, 46,492.40 and 20,264.82

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Solution

The fourth proportional to 33,686.16, 46,492.40 and 20,264.82 is: 27,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.16 : 46,492.40 = 20,264.82 : x
  2. Step 2: Convert to fraction form
    33,686.16/46,492.40 = 20,264.82/x
  3. Step 3: Cross multiply
    33,686.16x = 46,492.40 × 20,264.82
  4. Step 4: Simplify right side
    33,686.16x = 942,160,117.37
  5. Step 5: Solve for x
    x = 942,160,117.37/33,686.16
  6. Step 6: Final answer
    x = 27,968.76

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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.