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Finding the Fourth Proportional to 82,045.70, 123,068.53 and 19,716.20

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Solution

The fourth proportional to 82,045.70, 123,068.53 and 19,716.20 is: 29,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,045.70 : 123,068.53 = 19,716.20 : x
  2. Step 2: Convert to fraction form
    82,045.70/123,068.53 = 19,716.20/x
  3. Step 3: Cross multiply
    82,045.70x = 123,068.53 × 19,716.20
  4. Step 4: Simplify right side
    82,045.70x = 2,426,443,037.26
  5. Step 5: Solve for x
    x = 2,426,443,037.26/82,045.70
  6. Step 6: Final answer
    x = 29,574.29

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1.5x scale

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.