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Finding the Fourth Proportional to 59,833.68, 82,570.80 and 34,338.02

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Solution

The fourth proportional to 59,833.68, 82,570.80 and 34,338.02 is: 47,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,833.68 : 82,570.80 = 34,338.02 : x
  2. Step 2: Convert to fraction form
    59,833.68/82,570.80 = 34,338.02/x
  3. Step 3: Cross multiply
    59,833.68x = 82,570.80 × 34,338.02
  4. Step 4: Simplify right side
    59,833.68x = 2,835,317,368.96
  5. Step 5: Solve for x
    x = 2,835,317,368.96/59,833.68
  6. Step 6: Final answer
    x = 47,386.65

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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.