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Finding the Fourth Proportional to 56,314.71, 84,413.75 and 46,349.28

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Solution

The fourth proportional to 56,314.71, 84,413.75 and 46,349.28 is: 69,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,314.71 : 84,413.75 = 46,349.28 : x
  2. Step 2: Convert to fraction form
    56,314.71/84,413.75 = 46,349.28/x
  3. Step 3: Cross multiply
    56,314.71x = 84,413.75 × 46,349.28
  4. Step 4: Simplify right side
    56,314.71x = 3,912,516,302.85
  5. Step 5: Solve for x
    x = 3,912,516,302.85/56,314.71
  6. Step 6: Final answer
    x = 69,475.92

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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.