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Finding the Fourth Proportional to 32,200.77, 48,315.06 and 17,420.10

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Solution

The fourth proportional to 32,200.77, 48,315.06 and 17,420.10 is: 26,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.77 : 48,315.06 = 17,420.10 : x
  2. Step 2: Convert to fraction form
    32,200.77/48,315.06 = 17,420.10/x
  3. Step 3: Cross multiply
    32,200.77x = 48,315.06 × 17,420.10
  4. Step 4: Simplify right side
    32,200.77x = 841,653,176.71
  5. Step 5: Solve for x
    x = 841,653,176.71/32,200.77
  6. Step 6: Final answer
    x = 26,137.67

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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.