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Finding the Fourth Proportional to 32,036.16, 48,063.36 and 12,316.32

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Solution

The fourth proportional to 32,036.16, 48,063.36 and 12,316.32 is: 18,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.16 : 48,063.36 = 12,316.32 : x
  2. Step 2: Convert to fraction form
    32,036.16/48,063.36 = 12,316.32/x
  3. Step 3: Cross multiply
    32,036.16x = 48,063.36 × 12,316.32
  4. Step 4: Simplify right side
    32,036.16x = 591,963,722.04
  5. Step 5: Solve for x
    x = 591,963,722.04/32,036.16
  6. Step 6: Final answer
    x = 18,477.99

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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.