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Finding the Fourth Proportional to 32,235, 48,374.10 and 13,771.32

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Solution

The fourth proportional to 32,235, 48,374.10 and 13,771.32 is: 20,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235 : 48,374.10 = 13,771.32 : x
  2. Step 2: Convert to fraction form
    32,235/48,374.10 = 13,771.32/x
  3. Step 3: Cross multiply
    32,235x = 48,374.10 × 13,771.32
  4. Step 4: Simplify right side
    32,235x = 666,175,210.81
  5. Step 5: Solve for x
    x = 666,175,210.81/32,235
  6. Step 6: Final answer
    x = 20,666.21

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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.