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Finding the Fourth Proportional to 37,762.08, 52,102.40 and 22,655.84

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Solution

The fourth proportional to 37,762.08, 52,102.40 and 22,655.84 is: 31,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.08 : 52,102.40 = 22,655.84 : x
  2. Step 2: Convert to fraction form
    37,762.08/52,102.40 = 22,655.84/x
  3. Step 3: Cross multiply
    37,762.08x = 52,102.40 × 22,655.84
  4. Step 4: Simplify right side
    37,762.08x = 1,180,423,638.02
  5. Step 5: Solve for x
    x = 1,180,423,638.02/37,762.08
  6. Step 6: Final answer
    x = 31,259.50

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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.