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Finding the Fourth Proportional to 84,413.14, 116,526 and 52,597.76

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Solution

The fourth proportional to 84,413.14, 116,526 and 52,597.76 is: 72,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413.14 : 116,526 = 52,597.76 : x
  2. Step 2: Convert to fraction form
    84,413.14/116,526 = 52,597.76/x
  3. Step 3: Cross multiply
    84,413.14x = 116,526 × 52,597.76
  4. Step 4: Simplify right side
    84,413.14x = 6,129,006,581.76
  5. Step 5: Solve for x
    x = 6,129,006,581.76/84,413.14
  6. Step 6: Final answer
    x = 72,607.26

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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.