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Finding the Fourth Proportional to 102,413.25, 153,619.65 and 27,533.40

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Solution

The fourth proportional to 102,413.25, 153,619.65 and 27,533.40 is: 41,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,413.25 : 153,619.65 = 27,533.40 : x
  2. Step 2: Convert to fraction form
    102,413.25/153,619.65 = 27,533.40/x
  3. Step 3: Cross multiply
    102,413.25x = 153,619.65 × 27,533.40
  4. Step 4: Simplify right side
    102,413.25x = 4,229,671,271.31
  5. Step 5: Solve for x
    x = 4,229,671,271.31/102,413.25
  6. Step 6: Final answer
    x = 41,300.04

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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.