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Finding the Fourth Proportional to 76,954.66, 115,468.54 and 53,298.61

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Solution

The fourth proportional to 76,954.66, 115,468.54 and 53,298.61 is: 79,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.66 : 115,468.54 = 53,298.61 : x
  2. Step 2: Convert to fraction form
    76,954.66/115,468.54 = 53,298.61/x
  3. Step 3: Cross multiply
    76,954.66x = 115,468.54 × 53,298.61
  4. Step 4: Simplify right side
    76,954.66x = 6,154,312,258.81
  5. Step 5: Solve for x
    x = 6,154,312,258.81/76,954.66
  6. Step 6: Final answer
    x = 79,973.23

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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.