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Finding the Fourth Proportional to 55,643.99, 76,746.74 and 38,648.21

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Solution

The fourth proportional to 55,643.99, 76,746.74 and 38,648.21 is: 53,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.99 : 76,746.74 = 38,648.21 : x
  2. Step 2: Convert to fraction form
    55,643.99/76,746.74 = 38,648.21/x
  3. Step 3: Cross multiply
    55,643.99x = 76,746.74 × 38,648.21
  4. Step 4: Simplify right side
    55,643.99x = 2,966,123,547.36
  5. Step 5: Solve for x
    x = 2,966,123,547.36/55,643.99
  6. Step 6: Final answer
    x = 53,305.38

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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.