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Finding the Fourth Proportional to 114,954.32, 172,483.32 and 52,642.64

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Solution

The fourth proportional to 114,954.32, 172,483.32 and 52,642.64 is: 78,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,954.32 : 172,483.32 = 52,642.64 : x
  2. Step 2: Convert to fraction form
    114,954.32/172,483.32 = 52,642.64/x
  3. Step 3: Cross multiply
    114,954.32x = 172,483.32 × 52,642.64
  4. Step 4: Simplify right side
    114,954.32x = 9,079,977,320.76
  5. Step 5: Solve for x
    x = 9,079,977,320.76/114,954.32
  6. Step 6: Final answer
    x = 78,987.70

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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.