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Finding the Fourth Proportional to 31,036.95, 42,852.80 and 24,238.64

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Solution

The fourth proportional to 31,036.95, 42,852.80 and 24,238.64 is: 33,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.95 : 42,852.80 = 24,238.64 : x
  2. Step 2: Convert to fraction form
    31,036.95/42,852.80 = 24,238.64/x
  3. Step 3: Cross multiply
    31,036.95x = 42,852.80 × 24,238.64
  4. Step 4: Simplify right side
    31,036.95x = 1,038,693,592.19
  5. Step 5: Solve for x
    x = 1,038,693,592.19/31,036.95
  6. Step 6: Final answer
    x = 33,466.36

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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.