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Finding the Fourth Proportional to 98,009.24, 147,000 and 31,440.72

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Solution

The fourth proportional to 98,009.24, 147,000 and 31,440.72 is: 47,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,009.24 : 147,000 = 31,440.72 : x
  2. Step 2: Convert to fraction form
    98,009.24/147,000 = 31,440.72/x
  3. Step 3: Cross multiply
    98,009.24x = 147,000 × 31,440.72
  4. Step 4: Simplify right side
    98,009.24x = 4,621,785,840
  5. Step 5: Solve for x
    x = 4,621,785,840/98,009.24
  6. Step 6: Final answer
    x = 47,156.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.