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Finding the Fourth Proportional to 54,866, 75,715.08 and 29,715.68

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Solution

The fourth proportional to 54,866, 75,715.08 and 29,715.68 is: 41,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866 : 75,715.08 = 29,715.68 : x
  2. Step 2: Convert to fraction form
    54,866/75,715.08 = 29,715.68/x
  3. Step 3: Cross multiply
    54,866x = 75,715.08 × 29,715.68
  4. Step 4: Simplify right side
    54,866x = 2,249,925,088.45
  5. Step 5: Solve for x
    x = 2,249,925,088.45/54,866
  6. Step 6: Final answer
    x = 41,007.64

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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.