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Finding the Fourth Proportional to 32,592, 44,977 and 17,688

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Solution

The fourth proportional to 32,592, 44,977 and 17,688 is: 24,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592 : 44,977 = 17,688 : x
  2. Step 2: Convert to fraction form
    32,592/44,977 = 17,688/x
  3. Step 3: Cross multiply
    32,592x = 44,977 × 17,688
  4. Step 4: Simplify right side
    32,592x = 795,553,176
  5. Step 5: Solve for x
    x = 795,553,176/32,592
  6. Step 6: Final answer
    x = 24,409.46

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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.