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Finding the Fourth Proportional to 32,647.64, 48,973.00 and 10,461.21

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Solution

The fourth proportional to 32,647.64, 48,973.00 and 10,461.21 is: 15,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.64 : 48,973.00 = 10,461.21 : x
  2. Step 2: Convert to fraction form
    32,647.64/48,973.00 = 10,461.21/x
  3. Step 3: Cross multiply
    32,647.64x = 48,973.00 × 10,461.21
  4. Step 4: Simplify right side
    32,647.64x = 512,316,641.12
  5. Step 5: Solve for x
    x = 512,316,641.12/32,647.64
  6. Step 6: Final answer
    x = 15,692.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.