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Finding the Fourth Proportional to 98,946.52, 148,419.77 and 43,542.52

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Solution

The fourth proportional to 98,946.52, 148,419.77 and 43,542.52 is: 65,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,946.52 : 148,419.77 = 43,542.52 : x
  2. Step 2: Convert to fraction form
    98,946.52/148,419.77 = 43,542.52/x
  3. Step 3: Cross multiply
    98,946.52x = 148,419.77 × 43,542.52
  4. Step 4: Simplify right side
    98,946.52x = 6,462,570,541.43
  5. Step 5: Solve for x
    x = 6,462,570,541.43/98,946.52
  6. Step 6: Final answer
    x = 65,313.77

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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.