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Finding the Fourth Proportional to 98,703.36, 148,070.40 and 33,024

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Solution

The fourth proportional to 98,703.36, 148,070.40 and 33,024 is: 49,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,703.36 : 148,070.40 = 33,024 : x
  2. Step 2: Convert to fraction form
    98,703.36/148,070.40 = 33,024/x
  3. Step 3: Cross multiply
    98,703.36x = 148,070.40 × 33,024
  4. Step 4: Simplify right side
    98,703.36x = 4,889,876,889.60
  5. Step 5: Solve for x
    x = 4,889,876,889.60/98,703.36
  6. Step 6: Final answer
    x = 49,541.14

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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.