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Finding the Fourth Proportional to 76,373.60, 105,390.80 and 46,141.05

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Solution

The fourth proportional to 76,373.60, 105,390.80 and 46,141.05 is: 63,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,373.60 : 105,390.80 = 46,141.05 : x
  2. Step 2: Convert to fraction form
    76,373.60/105,390.80 = 46,141.05/x
  3. Step 3: Cross multiply
    76,373.60x = 105,390.80 × 46,141.05
  4. Step 4: Simplify right side
    76,373.60x = 4,862,842,509.88
  5. Step 5: Solve for x
    x = 4,862,842,509.88/76,373.60
  6. Step 6: Final answer
    x = 63,671.78

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Why These Related Problems?

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