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Finding the Fourth Proportional to 53,413.40, 73,702.30 and 30,748.01

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Solution

The fourth proportional to 53,413.40, 73,702.30 and 30,748.01 is: 42,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.40 : 73,702.30 = 30,748.01 : x
  2. Step 2: Convert to fraction form
    53,413.40/73,702.30 = 30,748.01/x
  3. Step 3: Cross multiply
    53,413.40x = 73,702.30 × 30,748.01
  4. Step 4: Simplify right side
    53,413.40x = 2,266,199,057.42
  5. Step 5: Solve for x
    x = 2,266,199,057.42/53,413.40
  6. Step 6: Final answer
    x = 42,427.54

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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.