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Finding the Fourth Proportional to 82,666.25, 114,088.35 and 46,852.42

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Solution

The fourth proportional to 82,666.25, 114,088.35 and 46,852.42 is: 64,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.25 : 114,088.35 = 46,852.42 : x
  2. Step 2: Convert to fraction form
    82,666.25/114,088.35 = 46,852.42/x
  3. Step 3: Cross multiply
    82,666.25x = 114,088.35 × 46,852.42
  4. Step 4: Simplify right side
    82,666.25x = 5,345,315,291.31
  5. Step 5: Solve for x
    x = 5,345,315,291.31/82,666.25
  6. Step 6: Final answer
    x = 64,661.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.