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Finding the Fourth Proportional to 32,878.40, 49,322.52 and 12,100.32

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Solution

The fourth proportional to 32,878.40, 49,322.52 and 12,100.32 is: 18,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878.40 : 49,322.52 = 12,100.32 : x
  2. Step 2: Convert to fraction form
    32,878.40/49,322.52 = 12,100.32/x
  3. Step 3: Cross multiply
    32,878.40x = 49,322.52 × 12,100.32
  4. Step 4: Simplify right side
    32,878.40x = 596,818,275.21
  5. Step 5: Solve for x
    x = 596,818,275.21/32,878.40
  6. Step 6: Final answer
    x = 18,152.29

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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.