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Finding the Fourth Proportional to 98,971.56, 148,465.56 and 32,410.24

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Solution

The fourth proportional to 98,971.56, 148,465.56 and 32,410.24 is: 48,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,971.56 : 148,465.56 = 32,410.24 : x
  2. Step 2: Convert to fraction form
    98,971.56/148,465.56 = 32,410.24/x
  3. Step 3: Cross multiply
    98,971.56x = 148,465.56 × 32,410.24
  4. Step 4: Simplify right side
    98,971.56x = 4,811,804,431.33
  5. Step 5: Solve for x
    x = 4,811,804,431.33/98,971.56
  6. Step 6: Final answer
    x = 48,618.05

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1.5x scale

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.