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Finding the Fourth Proportional to 70,783.92, 97,684.10 and 40,574.96

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Solution

The fourth proportional to 70,783.92, 97,684.10 and 40,574.96 is: 55,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.92 : 97,684.10 = 40,574.96 : x
  2. Step 2: Convert to fraction form
    70,783.92/97,684.10 = 40,574.96/x
  3. Step 3: Cross multiply
    70,783.92x = 97,684.10 × 40,574.96
  4. Step 4: Simplify right side
    70,783.92x = 3,963,528,277.31
  5. Step 5: Solve for x
    x = 3,963,528,277.31/70,783.92
  6. Step 6: Final answer
    x = 55,994.76

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1.5x scale

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.