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Finding the Fourth Proportional to 75,172, 103,711.56 and 42,883.42

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Solution

The fourth proportional to 75,172, 103,711.56 and 42,883.42 is: 59,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 103,711.56 = 42,883.42 : x
  2. Step 2: Convert to fraction form
    75,172/103,711.56 = 42,883.42/x
  3. Step 3: Cross multiply
    75,172x = 103,711.56 × 42,883.42
  4. Step 4: Simplify right side
    75,172x = 4,447,506,386.34
  5. Step 5: Solve for x
    x = 4,447,506,386.34/75,172
  6. Step 6: Final answer
    x = 59,164.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.