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Finding the Fourth Proportional to 32,297.54, 44,570.32 and 18,150.35

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Solution

The fourth proportional to 32,297.54, 44,570.32 and 18,150.35 is: 25,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.54 : 44,570.32 = 18,150.35 : x
  2. Step 2: Convert to fraction form
    32,297.54/44,570.32 = 18,150.35/x
  3. Step 3: Cross multiply
    32,297.54x = 44,570.32 × 18,150.35
  4. Step 4: Simplify right side
    32,297.54x = 808,966,639.38
  5. Step 5: Solve for x
    x = 808,966,639.38/32,297.54
  6. Step 6: Final answer
    x = 25,047.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.