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Finding the Fourth Proportional to 77,176.60, 115,883.70 and 42,184.60

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Solution

The fourth proportional to 77,176.60, 115,883.70 and 42,184.60 is: 63,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,176.60 : 115,883.70 = 42,184.60 : x
  2. Step 2: Convert to fraction form
    77,176.60/115,883.70 = 42,184.60/x
  3. Step 3: Cross multiply
    77,176.60x = 115,883.70 × 42,184.60
  4. Step 4: Simplify right side
    77,176.60x = 4,888,507,531.02
  5. Step 5: Solve for x
    x = 4,888,507,531.02/77,176.60
  6. Step 6: Final answer
    x = 63,341.84

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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.