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Finding the Fourth Proportional to 96,488.01, 133,037.64 and 83,036.14

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Solution

The fourth proportional to 96,488.01, 133,037.64 and 83,036.14 is: 114,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,488.01 : 133,037.64 = 83,036.14 : x
  2. Step 2: Convert to fraction form
    96,488.01/133,037.64 = 83,036.14/x
  3. Step 3: Cross multiply
    96,488.01x = 133,037.64 × 83,036.14
  4. Step 4: Simplify right side
    96,488.01x = 11,046,931,767.72
  5. Step 5: Solve for x
    x = 11,046,931,767.72/96,488.01
  6. Step 6: Final answer
    x = 114,490.20

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1.5x scale

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.