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Finding the Fourth Proportional to 114,924.30, 172,386.45 and 36,038.40

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Solution

The fourth proportional to 114,924.30, 172,386.45 and 36,038.40 is: 54,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,924.30 : 172,386.45 = 36,038.40 : x
  2. Step 2: Convert to fraction form
    114,924.30/172,386.45 = 36,038.40/x
  3. Step 3: Cross multiply
    114,924.30x = 172,386.45 × 36,038.40
  4. Step 4: Simplify right side
    114,924.30x = 6,212,531,839.68
  5. Step 5: Solve for x
    x = 6,212,531,839.68/114,924.30
  6. Step 6: Final answer
    x = 54,057.60

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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.