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Finding the Fourth Proportional to 32,225.01, 48,345.90 and 10,038.75

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Solution

The fourth proportional to 32,225.01, 48,345.90 and 10,038.75 is: 15,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.01 : 48,345.90 = 10,038.75 : x
  2. Step 2: Convert to fraction form
    32,225.01/48,345.90 = 10,038.75/x
  3. Step 3: Cross multiply
    32,225.01x = 48,345.90 × 10,038.75
  4. Step 4: Simplify right side
    32,225.01x = 485,332,403.63
  5. Step 5: Solve for x
    x = 485,332,403.63/32,225.01
  6. Step 6: Final answer
    x = 15,060.74

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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.