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Finding the Fourth Proportional to 98,159.74, 147,262.67 and 31,597.37

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Solution

The fourth proportional to 98,159.74, 147,262.67 and 31,597.37 is: 47,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,159.74 : 147,262.67 = 31,597.37 : x
  2. Step 2: Convert to fraction form
    98,159.74/147,262.67 = 31,597.37/x
  3. Step 3: Cross multiply
    98,159.74x = 147,262.67 × 31,597.37
  4. Step 4: Simplify right side
    98,159.74x = 4,653,112,477.86
  5. Step 5: Solve for x
    x = 4,653,112,477.86/98,159.74
  6. Step 6: Final answer
    x = 47,403.47

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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.