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Finding the Fourth Proportional to 101,597.76, 152,407.44 and 31,482.54

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Solution

The fourth proportional to 101,597.76, 152,407.44 and 31,482.54 is: 47,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,597.76 : 152,407.44 = 31,482.54 : x
  2. Step 2: Convert to fraction form
    101,597.76/152,407.44 = 31,482.54/x
  3. Step 3: Cross multiply
    101,597.76x = 152,407.44 × 31,482.54
  4. Step 4: Simplify right side
    101,597.76x = 4,798,173,326.10
  5. Step 5: Solve for x
    x = 4,798,173,326.10/101,597.76
  6. Step 6: Final answer
    x = 47,227.16

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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.