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Finding the Fourth Proportional to 118,538.64, 177,808.10 and 48,417.93

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Solution

The fourth proportional to 118,538.64, 177,808.10 and 48,417.93 is: 72,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,538.64 : 177,808.10 = 48,417.93 : x
  2. Step 2: Convert to fraction form
    118,538.64/177,808.10 = 48,417.93/x
  3. Step 3: Cross multiply
    118,538.64x = 177,808.10 × 48,417.93
  4. Step 4: Simplify right side
    118,538.64x = 8,609,099,897.14
  5. Step 5: Solve for x
    x = 8,609,099,897.14/118,538.64
  6. Step 6: Final answer
    x = 72,626.95

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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.