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Finding the Fourth Proportional to 76,457.51, 114,686.27 and 23,871.50

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Solution

The fourth proportional to 76,457.51, 114,686.27 and 23,871.50 is: 35,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,457.51 : 114,686.27 = 23,871.50 : x
  2. Step 2: Convert to fraction form
    76,457.51/114,686.27 = 23,871.50/x
  3. Step 3: Cross multiply
    76,457.51x = 114,686.27 × 23,871.50
  4. Step 4: Simplify right side
    76,457.51x = 2,737,733,121.11
  5. Step 5: Solve for x
    x = 2,737,733,121.11/76,457.51
  6. Step 6: Final answer
    x = 35,807.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.