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Finding the Fourth Proportional to 116,111.02, 174,162.88 and 33,005.02

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Solution

The fourth proportional to 116,111.02, 174,162.88 and 33,005.02 is: 49,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,111.02 : 174,162.88 = 33,005.02 : x
  2. Step 2: Convert to fraction form
    116,111.02/174,162.88 = 33,005.02/x
  3. Step 3: Cross multiply
    116,111.02x = 174,162.88 × 33,005.02
  4. Step 4: Simplify right side
    116,111.02x = 5,748,249,337.66
  5. Step 5: Solve for x
    x = 5,748,249,337.66/116,111.02
  6. Step 6: Final answer
    x = 49,506.49

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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.