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Finding the Fourth Proportional to 101,648.83, 152,465.92 and 31,526.32

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Solution

The fourth proportional to 101,648.83, 152,465.92 and 31,526.32 is: 47,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,648.83 : 152,465.92 = 31,526.32 : x
  2. Step 2: Convert to fraction form
    101,648.83/152,465.92 = 31,526.32/x
  3. Step 3: Cross multiply
    101,648.83x = 152,465.92 × 31,526.32
  4. Step 4: Simplify right side
    101,648.83x = 4,806,689,383.01
  5. Step 5: Solve for x
    x = 4,806,689,383.01/101,648.83
  6. Step 6: Final answer
    x = 47,287.21

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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.