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Finding the Fourth Proportional to 78,705.56, 118,075.88 and 28,784.56

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Solution

The fourth proportional to 78,705.56, 118,075.88 and 28,784.56 is: 43,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705.56 : 118,075.88 = 28,784.56 : x
  2. Step 2: Convert to fraction form
    78,705.56/118,075.88 = 28,784.56/x
  3. Step 3: Cross multiply
    78,705.56x = 118,075.88 × 28,784.56
  4. Step 4: Simplify right side
    78,705.56x = 3,398,762,252.41
  5. Step 5: Solve for x
    x = 3,398,762,252.41/78,705.56
  6. Step 6: Final answer
    x = 43,183.25

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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.