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Finding the Fourth Proportional to 76,675.94, 105,812.76 and 42,683.68

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Solution

The fourth proportional to 76,675.94, 105,812.76 and 42,683.68 is: 58,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.94 : 105,812.76 = 42,683.68 : x
  2. Step 2: Convert to fraction form
    76,675.94/105,812.76 = 42,683.68/x
  3. Step 3: Cross multiply
    76,675.94x = 105,812.76 × 42,683.68
  4. Step 4: Simplify right side
    76,675.94x = 4,516,477,987.76
  5. Step 5: Solve for x
    x = 4,516,477,987.76/76,675.94
  6. Step 6: Final answer
    x = 58,903.46

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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.