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Finding the Fourth Proportional to 51,349, 77,036.48 and 14,413

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Solution

The fourth proportional to 51,349, 77,036.48 and 14,413 is: 21,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,349 : 77,036.48 = 14,413 : x
  2. Step 2: Convert to fraction form
    51,349/77,036.48 = 14,413/x
  3. Step 3: Cross multiply
    51,349x = 77,036.48 × 14,413
  4. Step 4: Simplify right side
    51,349x = 1,110,326,786.24
  5. Step 5: Solve for x
    x = 1,110,326,786.24/51,349
  6. Step 6: Final answer
    x = 21,623.14

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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.