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Finding the Fourth Proportional to 52,026.90, 78,032.43 and 16,966.50

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Solution

The fourth proportional to 52,026.90, 78,032.43 and 16,966.50 is: 25,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026.90 : 78,032.43 = 16,966.50 : x
  2. Step 2: Convert to fraction form
    52,026.90/78,032.43 = 16,966.50/x
  3. Step 3: Cross multiply
    52,026.90x = 78,032.43 × 16,966.50
  4. Step 4: Simplify right side
    52,026.90x = 1,323,937,223.60
  5. Step 5: Solve for x
    x = 1,323,937,223.60/52,026.90
  6. Step 6: Final answer
    x = 25,447.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.