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Finding the Fourth Proportional to 53,702.42, 74,119.04 and 31,038.27

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Solution

The fourth proportional to 53,702.42, 74,119.04 and 31,038.27 is: 42,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,702.42 : 74,119.04 = 31,038.27 : x
  2. Step 2: Convert to fraction form
    53,702.42/74,119.04 = 31,038.27/x
  3. Step 3: Cross multiply
    53,702.42x = 74,119.04 × 31,038.27
  4. Step 4: Simplify right side
    53,702.42x = 2,300,526,620.47
  5. Step 5: Solve for x
    x = 2,300,526,620.47/53,702.42
  6. Step 6: Final answer
    x = 42,838.42

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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.