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Finding the Fourth Proportional to 76,009.34, 114,038.62 and 36,561.32

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Solution

The fourth proportional to 76,009.34, 114,038.62 and 36,561.32 is: 54,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,009.34 : 114,038.62 = 36,561.32 : x
  2. Step 2: Convert to fraction form
    76,009.34/114,038.62 = 36,561.32/x
  3. Step 3: Cross multiply
    76,009.34x = 114,038.62 × 36,561.32
  4. Step 4: Simplify right side
    76,009.34x = 4,169,402,478.18
  5. Step 5: Solve for x
    x = 4,169,402,478.18/76,009.34
  6. Step 6: Final answer
    x = 54,853.82

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