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Finding the Fourth Proportional to 52,824, 72,897.12 and 31,606.32

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Solution

The fourth proportional to 52,824, 72,897.12 and 31,606.32 is: 43,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,824 : 72,897.12 = 31,606.32 : x
  2. Step 2: Convert to fraction form
    52,824/72,897.12 = 31,606.32/x
  3. Step 3: Cross multiply
    52,824x = 72,897.12 × 31,606.32
  4. Step 4: Simplify right side
    52,824x = 2,304,009,701.80
  5. Step 5: Solve for x
    x = 2,304,009,701.80/52,824
  6. Step 6: Final answer
    x = 43,616.72

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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.