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Finding the Fourth Proportional to 84,142, 116,116.08 and 46,416.16

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Solution

The fourth proportional to 84,142, 116,116.08 and 46,416.16 is: 64,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142 : 116,116.08 = 46,416.16 : x
  2. Step 2: Convert to fraction form
    84,142/116,116.08 = 46,416.16/x
  3. Step 3: Cross multiply
    84,142x = 116,116.08 × 46,416.16
  4. Step 4: Simplify right side
    84,142x = 5,389,662,547.85
  5. Step 5: Solve for x
    x = 5,389,662,547.85/84,142
  6. Step 6: Final answer
    x = 64,054.37

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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.