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Finding the Fourth Proportional to 30,962.32, 42,728.52 and 17,533.22

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Solution

The fourth proportional to 30,962.32, 42,728.52 and 17,533.22 is: 24,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.32 : 42,728.52 = 17,533.22 : x
  2. Step 2: Convert to fraction form
    30,962.32/42,728.52 = 17,533.22/x
  3. Step 3: Cross multiply
    30,962.32x = 42,728.52 × 17,533.22
  4. Step 4: Simplify right side
    30,962.32x = 749,168,541.43
  5. Step 5: Solve for x
    x = 749,168,541.43/30,962.32
  6. Step 6: Final answer
    x = 24,196.14

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