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Finding the Fourth Proportional to 77,562.64, 116,518.92 and 46,419.76

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Solution

The fourth proportional to 77,562.64, 116,518.92 and 46,419.76 is: 69,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,562.64 : 116,518.92 = 46,419.76 : x
  2. Step 2: Convert to fraction form
    77,562.64/116,518.92 = 46,419.76/x
  3. Step 3: Cross multiply
    77,562.64x = 116,518.92 × 46,419.76
  4. Step 4: Simplify right side
    77,562.64x = 5,408,780,301.86
  5. Step 5: Solve for x
    x = 5,408,780,301.86/77,562.64
  6. Step 6: Final answer
    x = 69,734.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.