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Finding the Fourth Proportional to 33,820.47, 46,669.17 and 19,476.50

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Solution

The fourth proportional to 33,820.47, 46,669.17 and 19,476.50 is: 26,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.47 : 46,669.17 = 19,476.50 : x
  2. Step 2: Convert to fraction form
    33,820.47/46,669.17 = 19,476.50/x
  3. Step 3: Cross multiply
    33,820.47x = 46,669.17 × 19,476.50
  4. Step 4: Simplify right side
    33,820.47x = 908,952,089.51
  5. Step 5: Solve for x
    x = 908,952,089.51/33,820.47
  6. Step 6: Final answer
    x = 26,875.80

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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.