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Finding the Fourth Proportional to 96,488.51, 133,038.33 and 83,036.64

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Solution

The fourth proportional to 96,488.51, 133,038.33 and 83,036.64 is: 114,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,488.51 : 133,038.33 = 83,036.64 : x
  2. Step 2: Convert to fraction form
    96,488.51/133,038.33 = 83,036.64/x
  3. Step 3: Cross multiply
    96,488.51x = 133,038.33 × 83,036.64
  4. Step 4: Simplify right side
    96,488.51x = 11,047,055,914.41
  5. Step 5: Solve for x
    x = 11,047,055,914.41/96,488.51
  6. Step 6: Final answer
    x = 114,490.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.