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Finding the Fourth Proportional to 32,428, 48,642 and 7,804

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Solution

The fourth proportional to 32,428, 48,642 and 7,804 is: 11,706

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428 : 48,642 = 7,804 : x
  2. Step 2: Convert to fraction form
    32,428/48,642 = 7,804/x
  3. Step 3: Cross multiply
    32,428x = 48,642 × 7,804
  4. Step 4: Simplify right side
    32,428x = 379,602,168
  5. Step 5: Solve for x
    x = 379,602,168/32,428
  6. Step 6: Final answer
    x = 11,706

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.