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Finding the Fourth Proportional to 107,266.09, 160,925.14 and 32,381.76

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Solution

The fourth proportional to 107,266.09, 160,925.14 and 32,381.76 is: 48,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,266.09 : 160,925.14 = 32,381.76 : x
  2. Step 2: Convert to fraction form
    107,266.09/160,925.14 = 32,381.76/x
  3. Step 3: Cross multiply
    107,266.09x = 160,925.14 × 32,381.76
  4. Step 4: Simplify right side
    107,266.09x = 5,211,039,261.45
  5. Step 5: Solve for x
    x = 5,211,039,261.45/107,266.09
  6. Step 6: Final answer
    x = 48,580.49

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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.