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Finding the Fourth Proportional to 98,215.51, 147,323.17 and 31,665.51

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Solution

The fourth proportional to 98,215.51, 147,323.17 and 31,665.51 is: 47,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,215.51 : 147,323.17 = 31,665.51 : x
  2. Step 2: Convert to fraction form
    98,215.51/147,323.17 = 31,665.51/x
  3. Step 3: Cross multiply
    98,215.51x = 147,323.17 × 31,665.51
  4. Step 4: Simplify right side
    98,215.51x = 4,665,063,312.87
  5. Step 5: Solve for x
    x = 4,665,063,312.87/98,215.51
  6. Step 6: Final answer
    x = 47,498.23

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1.5x scale

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.