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Finding the Fourth Proportional to 32,746.40, 49,111.73 and 9,053.41

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Solution

The fourth proportional to 32,746.40, 49,111.73 and 9,053.41 is: 13,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.40 : 49,111.73 = 9,053.41 : x
  2. Step 2: Convert to fraction form
    32,746.40/49,111.73 = 9,053.41/x
  3. Step 3: Cross multiply
    32,746.40x = 49,111.73 × 9,053.41
  4. Step 4: Simplify right side
    32,746.40x = 444,628,713.19
  5. Step 5: Solve for x
    x = 444,628,713.19/32,746.40
  6. Step 6: Final answer
    x = 13,577.94

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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.