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Finding the Fourth Proportional to 98,840.42, 148,275.12 and 31,349.94

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Solution

The fourth proportional to 98,840.42, 148,275.12 and 31,349.94 is: 47,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,840.42 : 148,275.12 = 31,349.94 : x
  2. Step 2: Convert to fraction form
    98,840.42/148,275.12 = 31,349.94/x
  3. Step 3: Cross multiply
    98,840.42x = 148,275.12 × 31,349.94
  4. Step 4: Simplify right side
    98,840.42x = 4,648,415,677.02
  5. Step 5: Solve for x
    x = 4,648,415,677.02/98,840.42
  6. Step 6: Final answer
    x = 47,029.50

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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.