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Finding the Fourth Proportional to 98,993.64, 148,478.40 and 28,873.02

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Solution

The fourth proportional to 98,993.64, 148,478.40 and 28,873.02 is: 43,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,993.64 : 148,478.40 = 28,873.02 : x
  2. Step 2: Convert to fraction form
    98,993.64/148,478.40 = 28,873.02/x
  3. Step 3: Cross multiply
    98,993.64x = 148,478.40 × 28,873.02
  4. Step 4: Simplify right side
    98,993.64x = 4,287,019,812.77
  5. Step 5: Solve for x
    x = 4,287,019,812.77/98,993.64
  6. Step 6: Final answer
    x = 43,306.01

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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.