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Finding the Fourth Proportional to 76,321.16, 105,323.46 and 42,785

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Solution

The fourth proportional to 76,321.16, 105,323.46 and 42,785 is: 59,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.16 : 105,323.46 = 42,785 : x
  2. Step 2: Convert to fraction form
    76,321.16/105,323.46 = 42,785/x
  3. Step 3: Cross multiply
    76,321.16x = 105,323.46 × 42,785
  4. Step 4: Simplify right side
    76,321.16x = 4,506,264,236.10
  5. Step 5: Solve for x
    x = 4,506,264,236.10/76,321.16
  6. Step 6: Final answer
    x = 59,043.45

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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.