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Finding the Fourth Proportional to 82,666.38, 114,088.52 and 46,852.55

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Solution

The fourth proportional to 82,666.38, 114,088.52 and 46,852.55 is: 64,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.38 : 114,088.52 = 46,852.55 : x
  2. Step 2: Convert to fraction form
    82,666.38/114,088.52 = 46,852.55/x
  3. Step 3: Cross multiply
    82,666.38x = 114,088.52 × 46,852.55
  4. Step 4: Simplify right side
    82,666.38x = 5,345,338,062.25
  5. Step 5: Solve for x
    x = 5,345,338,062.25/82,666.38
  6. Step 6: Final answer
    x = 64,661.57

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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.