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Finding the Fourth Proportional to 74,282.64, 111,413.01 and 24,368.01

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Solution

The fourth proportional to 74,282.64, 111,413.01 and 24,368.01 is: 36,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282.64 : 111,413.01 = 24,368.01 : x
  2. Step 2: Convert to fraction form
    74,282.64/111,413.01 = 24,368.01/x
  3. Step 3: Cross multiply
    74,282.64x = 111,413.01 × 24,368.01
  4. Step 4: Simplify right side
    74,282.64x = 2,714,913,341.81
  5. Step 5: Solve for x
    x = 2,714,913,341.81/74,282.64
  6. Step 6: Final answer
    x = 36,548.42

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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.