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Finding the Fourth Proportional to 98,300.50, 147,450.76 and 24,428.50

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Solution

The fourth proportional to 98,300.50, 147,450.76 and 24,428.50 is: 36,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,300.50 : 147,450.76 = 24,428.50 : x
  2. Step 2: Convert to fraction form
    98,300.50/147,450.76 = 24,428.50/x
  3. Step 3: Cross multiply
    98,300.50x = 147,450.76 × 24,428.50
  4. Step 4: Simplify right side
    98,300.50x = 3,602,000,890.66
  5. Step 5: Solve for x
    x = 3,602,000,890.66/98,300.50
  6. Step 6: Final answer
    x = 36,642.75

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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.