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Finding the Fourth Proportional to 76,111.40, 105,031.36 and 42,117.84

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Solution

The fourth proportional to 76,111.40, 105,031.36 and 42,117.84 is: 58,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,111.40 : 105,031.36 = 42,117.84 : x
  2. Step 2: Convert to fraction form
    76,111.40/105,031.36 = 42,117.84/x
  3. Step 3: Cross multiply
    76,111.40x = 105,031.36 × 42,117.84
  4. Step 4: Simplify right side
    76,111.40x = 4,423,694,015.46
  5. Step 5: Solve for x
    x = 4,423,694,015.46/76,111.40
  6. Step 6: Final answer
    x = 58,121.31

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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.