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Finding the Fourth Proportional to 37,527.50, 51,779.47 and 22,417.20

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Solution

The fourth proportional to 37,527.50, 51,779.47 and 22,417.20 is: 30,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,527.50 : 51,779.47 = 22,417.20 : x
  2. Step 2: Convert to fraction form
    37,527.50/51,779.47 = 22,417.20/x
  3. Step 3: Cross multiply
    37,527.50x = 51,779.47 × 22,417.20
  4. Step 4: Simplify right side
    37,527.50x = 1,160,750,678.84
  5. Step 5: Solve for x
    x = 1,160,750,678.84/37,527.50
  6. Step 6: Final answer
    x = 30,930.67

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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.