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Finding the Fourth Proportional to 84,095.12, 116,050.92 and 46,370

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Solution

The fourth proportional to 84,095.12, 116,050.92 and 46,370 is: 63,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,095.12 : 116,050.92 = 46,370 : x
  2. Step 2: Convert to fraction form
    84,095.12/116,050.92 = 46,370/x
  3. Step 3: Cross multiply
    84,095.12x = 116,050.92 × 46,370
  4. Step 4: Simplify right side
    84,095.12x = 5,381,281,160.40
  5. Step 5: Solve for x
    x = 5,381,281,160.40/84,095.12
  6. Step 6: Final answer
    x = 63,990.41

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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.