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Finding the Fourth Proportional to 46,521, 69,781.50 and 15,358.68

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Solution

The fourth proportional to 46,521, 69,781.50 and 15,358.68 is: 23,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,521 : 69,781.50 = 15,358.68 : x
  2. Step 2: Convert to fraction form
    46,521/69,781.50 = 15,358.68/x
  3. Step 3: Cross multiply
    46,521x = 69,781.50 × 15,358.68
  4. Step 4: Simplify right side
    46,521x = 1,071,751,728.42
  5. Step 5: Solve for x
    x = 1,071,751,728.42/46,521
  6. Step 6: Final answer
    x = 23,038.02

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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.