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Finding the Fourth Proportional to 113,413.95, 170,071.67 and 34,509.74

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Solution

The fourth proportional to 113,413.95, 170,071.67 and 34,509.74 is: 51,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,413.95 : 170,071.67 = 34,509.74 : x
  2. Step 2: Convert to fraction form
    113,413.95/170,071.67 = 34,509.74/x
  3. Step 3: Cross multiply
    113,413.95x = 170,071.67 × 34,509.74
  4. Step 4: Simplify right side
    113,413.95x = 5,869,128,090.16
  5. Step 5: Solve for x
    x = 5,869,128,090.16/113,413.95
  6. Step 6: Final answer
    x = 51,749.61

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Why These Related Problems?

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