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Finding the Fourth Proportional to 32,430, 44,753.40 and 17,526

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Solution

The fourth proportional to 32,430, 44,753.40 and 17,526 is: 24,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430 : 44,753.40 = 17,526 : x
  2. Step 2: Convert to fraction form
    32,430/44,753.40 = 17,526/x
  3. Step 3: Cross multiply
    32,430x = 44,753.40 × 17,526
  4. Step 4: Simplify right side
    32,430x = 784,348,088.40
  5. Step 5: Solve for x
    x = 784,348,088.40/32,430
  6. Step 6: Final answer
    x = 24,185.88

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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.