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Finding the Fourth Proportional to 37,967.84, 52,395.71 and 20,971.77

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Solution

The fourth proportional to 37,967.84, 52,395.71 and 20,971.77 is: 28,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,967.84 : 52,395.71 = 20,971.77 : x
  2. Step 2: Convert to fraction form
    37,967.84/52,395.71 = 20,971.77/x
  3. Step 3: Cross multiply
    37,967.84x = 52,395.71 × 20,971.77
  4. Step 4: Simplify right side
    37,967.84x = 1,098,830,779.11
  5. Step 5: Solve for x
    x = 1,098,830,779.11/37,967.84
  6. Step 6: Final answer
    x = 28,941.10

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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.