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Finding the Fourth Proportional to 32,332.94, 48,499.42 and 10,148.05

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Solution

The fourth proportional to 32,332.94, 48,499.42 and 10,148.05 is: 15,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332.94 : 48,499.42 = 10,148.05 : x
  2. Step 2: Convert to fraction form
    32,332.94/48,499.42 = 10,148.05/x
  3. Step 3: Cross multiply
    32,332.94x = 48,499.42 × 10,148.05
  4. Step 4: Simplify right side
    32,332.94x = 492,174,539.13
  5. Step 5: Solve for x
    x = 492,174,539.13/32,332.94
  6. Step 6: Final answer
    x = 15,222.08

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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.