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Finding the Fourth Proportional to 46,413.75, 64,051.02 and 25,193.01

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Solution

The fourth proportional to 46,413.75, 64,051.02 and 25,193.01 is: 34,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.75 : 64,051.02 = 25,193.01 : x
  2. Step 2: Convert to fraction form
    46,413.75/64,051.02 = 25,193.01/x
  3. Step 3: Cross multiply
    46,413.75x = 64,051.02 × 25,193.01
  4. Step 4: Simplify right side
    46,413.75x = 1,613,637,667.12
  5. Step 5: Solve for x
    x = 1,613,637,667.12/46,413.75
  6. Step 6: Final answer
    x = 34,766.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.