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Finding the Fourth Proportional to 98,473.53, 147,733.49 and 31,913.40

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Solution

The fourth proportional to 98,473.53, 147,733.49 and 31,913.40 is: 47,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,473.53 : 147,733.49 = 31,913.40 : x
  2. Step 2: Convert to fraction form
    98,473.53/147,733.49 = 31,913.40/x
  3. Step 3: Cross multiply
    98,473.53x = 147,733.49 × 31,913.40
  4. Step 4: Simplify right side
    98,473.53x = 4,714,677,959.77
  5. Step 5: Solve for x
    x = 4,714,677,959.77/98,473.53
  6. Step 6: Final answer
    x = 47,877.62

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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.