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Finding the Fourth Proportional to 75,122.04, 112,605.18 and 46,977.50

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Solution

The fourth proportional to 75,122.04, 112,605.18 and 46,977.50 is: 70,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122.04 : 112,605.18 = 46,977.50 : x
  2. Step 2: Convert to fraction form
    75,122.04/112,605.18 = 46,977.50/x
  3. Step 3: Cross multiply
    75,122.04x = 112,605.18 × 46,977.50
  4. Step 4: Simplify right side
    75,122.04x = 5,289,909,843.45
  5. Step 5: Solve for x
    x = 5,289,909,843.45/75,122.04
  6. Step 6: Final answer
    x = 70,417.55

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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.