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Finding the Fourth Proportional to 98,554.16, 147,829.14 and 31,994.18

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Solution

The fourth proportional to 98,554.16, 147,829.14 and 31,994.18 is: 47,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,554.16 : 147,829.14 = 31,994.18 : x
  2. Step 2: Convert to fraction form
    98,554.16/147,829.14 = 31,994.18/x
  3. Step 3: Cross multiply
    98,554.16x = 147,829.14 × 31,994.18
  4. Step 4: Simplify right side
    98,554.16x = 4,729,672,114.41
  5. Step 5: Solve for x
    x = 4,729,672,114.41/98,554.16
  6. Step 6: Final answer
    x = 47,990.59

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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.