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Finding the Fourth Proportional to 74,742.60, 103,140.90 and 46,447.68

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Solution

The fourth proportional to 74,742.60, 103,140.90 and 46,447.68 is: 64,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742.60 : 103,140.90 = 46,447.68 : x
  2. Step 2: Convert to fraction form
    74,742.60/103,140.90 = 46,447.68/x
  3. Step 3: Cross multiply
    74,742.60x = 103,140.90 × 46,447.68
  4. Step 4: Simplify right side
    74,742.60x = 4,790,655,518.11
  5. Step 5: Solve for x
    x = 4,790,655,518.11/74,742.60
  6. Step 6: Final answer
    x = 64,095.38

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Why These Related Problems?

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