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Finding the Fourth Proportional to 98,490.67, 147,782.14 and 48,543.54

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Solution

The fourth proportional to 98,490.67, 147,782.14 and 48,543.54 is: 72,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490.67 : 147,782.14 = 48,543.54 : x
  2. Step 2: Convert to fraction form
    98,490.67/147,782.14 = 48,543.54/x
  3. Step 3: Cross multiply
    98,490.67x = 147,782.14 × 48,543.54
  4. Step 4: Simplify right side
    98,490.67x = 7,173,868,224.38
  5. Step 5: Solve for x
    x = 7,173,868,224.38/98,490.67
  6. Step 6: Final answer
    x = 72,838.05

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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.