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Finding the Fourth Proportional to 32,563.32, 48,848.55 and 10,368.90

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Solution

The fourth proportional to 32,563.32, 48,848.55 and 10,368.90 is: 15,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.32 : 48,848.55 = 10,368.90 : x
  2. Step 2: Convert to fraction form
    32,563.32/48,848.55 = 10,368.90/x
  3. Step 3: Cross multiply
    32,563.32x = 48,848.55 × 10,368.90
  4. Step 4: Simplify right side
    32,563.32x = 506,505,730.10
  5. Step 5: Solve for x
    x = 506,505,730.10/32,563.32
  6. Step 6: Final answer
    x = 15,554.49

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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.