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Finding the Fourth Proportional to 69,346, 104,001.60 and 19,413.16

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Solution

The fourth proportional to 69,346, 104,001.60 and 19,413.16 is: 29,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346 : 104,001.60 = 19,413.16 : x
  2. Step 2: Convert to fraction form
    69,346/104,001.60 = 19,413.16/x
  3. Step 3: Cross multiply
    69,346x = 104,001.60 × 19,413.16
  4. Step 4: Simplify right side
    69,346x = 2,018,999,701.06
  5. Step 5: Solve for x
    x = 2,018,999,701.06/69,346
  6. Step 6: Final answer
    x = 29,114.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.