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Finding the Fourth Proportional to 32,639, 45,041.84 and 17,735

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Solution

The fourth proportional to 32,639, 45,041.84 and 17,735 is: 24,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,639 : 45,041.84 = 17,735 : x
  2. Step 2: Convert to fraction form
    32,639/45,041.84 = 17,735/x
  3. Step 3: Cross multiply
    32,639x = 45,041.84 × 17,735
  4. Step 4: Simplify right side
    32,639x = 798,817,032.40
  5. Step 5: Solve for x
    x = 798,817,032.40/32,639
  6. Step 6: Final answer
    x = 24,474.31

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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.