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Finding the Fourth Proportional to 32,484.47, 44,828.70 and 17,580.47

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Solution

The fourth proportional to 32,484.47, 44,828.70 and 17,580.47 is: 24,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.47 : 44,828.70 = 17,580.47 : x
  2. Step 2: Convert to fraction form
    32,484.47/44,828.70 = 17,580.47/x
  3. Step 3: Cross multiply
    32,484.47x = 44,828.70 × 17,580.47
  4. Step 4: Simplify right side
    32,484.47x = 788,109,625.38
  5. Step 5: Solve for x
    x = 788,109,625.38/32,484.47
  6. Step 6: Final answer
    x = 24,261.12

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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.