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Finding the Fourth Proportional to 77,430.42, 116,160.75 and 24,835.86

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Solution

The fourth proportional to 77,430.42, 116,160.75 and 24,835.86 is: 37,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,430.42 : 116,160.75 = 24,835.86 : x
  2. Step 2: Convert to fraction form
    77,430.42/116,160.75 = 24,835.86/x
  3. Step 3: Cross multiply
    77,430.42x = 116,160.75 × 24,835.86
  4. Step 4: Simplify right side
    77,430.42x = 2,884,952,124.50
  5. Step 5: Solve for x
    x = 2,884,952,124.50/77,430.42
  6. Step 6: Final answer
    x = 37,258.64

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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.