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Finding the Fourth Proportional to 44,240, 61,051.20 and 24,368

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Solution

The fourth proportional to 44,240, 61,051.20 and 24,368 is: 33,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,240 : 61,051.20 = 24,368 : x
  2. Step 2: Convert to fraction form
    44,240/61,051.20 = 24,368/x
  3. Step 3: Cross multiply
    44,240x = 61,051.20 × 24,368
  4. Step 4: Simplify right side
    44,240x = 1,487,695,641.60
  5. Step 5: Solve for x
    x = 1,487,695,641.60/44,240
  6. Step 6: Final answer
    x = 33,627.84

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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.