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Finding the Fourth Proportional to 32,480, 44,822.40 and 17,576

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Solution

The fourth proportional to 32,480, 44,822.40 and 17,576 is: 24,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480 : 44,822.40 = 17,576 : x
  2. Step 2: Convert to fraction form
    32,480/44,822.40 = 17,576/x
  3. Step 3: Cross multiply
    32,480x = 44,822.40 × 17,576
  4. Step 4: Simplify right side
    32,480x = 787,798,502.40
  5. Step 5: Solve for x
    x = 787,798,502.40/32,480
  6. Step 6: Final answer
    x = 24,254.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.