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Finding the Fourth Proportional to 98,641, 147,980.94 and 32,076.84

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Solution

The fourth proportional to 98,641, 147,980.94 and 32,076.84 is: 48,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,641 : 147,980.94 = 32,076.84 : x
  2. Step 2: Convert to fraction form
    98,641/147,980.94 = 32,076.84/x
  3. Step 3: Cross multiply
    98,641x = 147,980.94 × 32,076.84
  4. Step 4: Simplify right side
    98,641x = 4,746,760,935.43
  5. Step 5: Solve for x
    x = 4,746,760,935.43/98,641
  6. Step 6: Final answer
    x = 48,121.58

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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.