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Finding the Fourth Proportional to 32,041.31, 48,054.57 and 9,547.41

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Solution

The fourth proportional to 32,041.31, 48,054.57 and 9,547.41 is: 14,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.31 : 48,054.57 = 9,547.41 : x
  2. Step 2: Convert to fraction form
    32,041.31/48,054.57 = 9,547.41/x
  3. Step 3: Cross multiply
    32,041.31x = 48,054.57 × 9,547.41
  4. Step 4: Simplify right side
    32,041.31x = 458,796,682.16
  5. Step 5: Solve for x
    x = 458,796,682.16/32,041.31
  6. Step 6: Final answer
    x = 14,318.91

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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.