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Finding the Fourth Proportional to 86,615.76, 119,530.15 and 46,871.76

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Solution

The fourth proportional to 86,615.76, 119,530.15 and 46,871.76 is: 64,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,615.76 : 119,530.15 = 46,871.76 : x
  2. Step 2: Convert to fraction form
    86,615.76/119,530.15 = 46,871.76/x
  3. Step 3: Cross multiply
    86,615.76x = 119,530.15 × 46,871.76
  4. Step 4: Simplify right side
    86,615.76x = 5,602,588,503.56
  5. Step 5: Solve for x
    x = 5,602,588,503.56/86,615.76
  6. Step 6: Final answer
    x = 64,683.25

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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.