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Finding the Fourth Proportional to 34,465.40, 51,724.02 and 23,345.72

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Solution

The fourth proportional to 34,465.40, 51,724.02 and 23,345.72 is: 35,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465.40 : 51,724.02 = 23,345.72 : x
  2. Step 2: Convert to fraction form
    34,465.40/51,724.02 = 23,345.72/x
  3. Step 3: Cross multiply
    34,465.40x = 51,724.02 × 23,345.72
  4. Step 4: Simplify right side
    34,465.40x = 1,207,534,488.19
  5. Step 5: Solve for x
    x = 1,207,534,488.19/34,465.40
  6. Step 6: Final answer
    x = 35,036.14

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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.