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Finding the Fourth Proportional to 32,501.53, 48,746.85 and 9,122.50

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Solution

The fourth proportional to 32,501.53, 48,746.85 and 9,122.50 is: 13,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.53 : 48,746.85 = 9,122.50 : x
  2. Step 2: Convert to fraction form
    32,501.53/48,746.85 = 9,122.50/x
  3. Step 3: Cross multiply
    32,501.53x = 48,746.85 × 9,122.50
  4. Step 4: Simplify right side
    32,501.53x = 444,693,139.13
  5. Step 5: Solve for x
    x = 444,693,139.13/32,501.53
  6. Step 6: Final answer
    x = 13,682.22

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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.