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Finding the Fourth Proportional to 42,546, 63,848.16 and 14,844

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Solution

The fourth proportional to 42,546, 63,848.16 and 14,844 is: 22,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,546 : 63,848.16 = 14,844 : x
  2. Step 2: Convert to fraction form
    42,546/63,848.16 = 14,844/x
  3. Step 3: Cross multiply
    42,546x = 63,848.16 × 14,844
  4. Step 4: Simplify right side
    42,546x = 947,762,087.04
  5. Step 5: Solve for x
    x = 947,762,087.04/42,546
  6. Step 6: Final answer
    x = 22,276.17

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