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Finding the Fourth Proportional to 32,484.50, 44,828.64 and 17,580.50

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Solution

The fourth proportional to 32,484.50, 44,828.64 and 17,580.50 is: 24,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.50 : 44,828.64 = 17,580.50 : x
  2. Step 2: Convert to fraction form
    32,484.50/44,828.64 = 17,580.50/x
  3. Step 3: Cross multiply
    32,484.50x = 44,828.64 × 17,580.50
  4. Step 4: Simplify right side
    32,484.50x = 788,109,817.62
  5. Step 5: Solve for x
    x = 788,109,817.62/32,484.50
  6. Step 6: Final answer
    x = 24,261.10

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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.