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Finding the Fourth Proportional to 98,944, 148,424.64 and 25,072

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Solution

The fourth proportional to 98,944, 148,424.64 and 25,072 is: 37,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,944 : 148,424.64 = 25,072 : x
  2. Step 2: Convert to fraction form
    98,944/148,424.64 = 25,072/x
  3. Step 3: Cross multiply
    98,944x = 148,424.64 × 25,072
  4. Step 4: Simplify right side
    98,944x = 3,721,302,574.08
  5. Step 5: Solve for x
    x = 3,721,302,574.08/98,944
  6. Step 6: Final answer
    x = 37,610.19

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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.