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Finding the Fourth Proportional to 105,089.60, 157,634.40 and 49,793.60

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Solution

The fourth proportional to 105,089.60, 157,634.40 and 49,793.60 is: 74,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,089.60 : 157,634.40 = 49,793.60 : x
  2. Step 2: Convert to fraction form
    105,089.60/157,634.40 = 49,793.60/x
  3. Step 3: Cross multiply
    105,089.60x = 157,634.40 × 49,793.60
  4. Step 4: Simplify right side
    105,089.60x = 7,849,184,259.84
  5. Step 5: Solve for x
    x = 7,849,184,259.84/105,089.60
  6. Step 6: Final answer
    x = 74,690.40

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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.