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Finding the Fourth Proportional to 130,074.48, 195,089.04 and 36,558

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Solution

The fourth proportional to 130,074.48, 195,089.04 and 36,558 is: 54,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,074.48 : 195,089.04 = 36,558 : x
  2. Step 2: Convert to fraction form
    130,074.48/195,089.04 = 36,558/x
  3. Step 3: Cross multiply
    130,074.48x = 195,089.04 × 36,558
  4. Step 4: Simplify right side
    130,074.48x = 7,132,065,124.32
  5. Step 5: Solve for x
    x = 7,132,065,124.32/130,074.48
  6. Step 6: Final answer
    x = 54,830.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.