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Finding the Fourth Proportional to 75,701.60, 113,603.60 and 42,421.60

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Solution

The fourth proportional to 75,701.60, 113,603.60 and 42,421.60 is: 63,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701.60 : 113,603.60 = 42,421.60 : x
  2. Step 2: Convert to fraction form
    75,701.60/113,603.60 = 42,421.60/x
  3. Step 3: Cross multiply
    75,701.60x = 113,603.60 × 42,421.60
  4. Step 4: Simplify right side
    75,701.60x = 4,819,246,477.76
  5. Step 5: Solve for x
    x = 4,819,246,477.76/75,701.60
  6. Step 6: Final answer
    x = 63,661.09

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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.