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Finding the Fourth Proportional to 98,732.58, 148,102.14 and 28,612.50

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Solution

The fourth proportional to 98,732.58, 148,102.14 and 28,612.50 is: 42,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.58 : 148,102.14 = 28,612.50 : x
  2. Step 2: Convert to fraction form
    98,732.58/148,102.14 = 28,612.50/x
  3. Step 3: Cross multiply
    98,732.58x = 148,102.14 × 28,612.50
  4. Step 4: Simplify right side
    98,732.58x = 4,237,572,480.75
  5. Step 5: Solve for x
    x = 4,237,572,480.75/98,732.58
  6. Step 6: Final answer
    x = 42,919.70

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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.