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Finding the Fourth Proportional to 76,552.64, 105,629.86 and 42,560.16

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Solution

The fourth proportional to 76,552.64, 105,629.86 and 42,560.16 is: 58,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,552.64 : 105,629.86 = 42,560.16 : x
  2. Step 2: Convert to fraction form
    76,552.64/105,629.86 = 42,560.16/x
  3. Step 3: Cross multiply
    76,552.64x = 105,629.86 × 42,560.16
  4. Step 4: Simplify right side
    76,552.64x = 4,495,623,742.38
  5. Step 5: Solve for x
    x = 4,495,623,742.38/76,552.64
  6. Step 6: Final answer
    x = 58,725.91

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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.