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Finding the Fourth Proportional to 98,598.94, 147,824.60 and 31,999.32

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Solution

The fourth proportional to 98,598.94, 147,824.60 and 31,999.32 is: 47,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,598.94 : 147,824.60 = 31,999.32 : x
  2. Step 2: Convert to fraction form
    98,598.94/147,824.60 = 31,999.32/x
  3. Step 3: Cross multiply
    98,598.94x = 147,824.60 × 31,999.32
  4. Step 4: Simplify right side
    98,598.94x = 4,730,286,519.28
  5. Step 5: Solve for x
    x = 4,730,286,519.28/98,598.94
  6. Step 6: Final answer
    x = 47,975.03

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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.