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Finding the Fourth Proportional to 91,762.84, 137,602.02 and 36,320.92

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Solution

The fourth proportional to 91,762.84, 137,602.02 and 36,320.92 is: 54,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762.84 : 137,602.02 = 36,320.92 : x
  2. Step 2: Convert to fraction form
    91,762.84/137,602.02 = 36,320.92/x
  3. Step 3: Cross multiply
    91,762.84x = 137,602.02 × 36,320.92
  4. Step 4: Simplify right side
    91,762.84x = 4,997,831,960.26
  5. Step 5: Solve for x
    x = 4,997,831,960.26/91,762.84
  6. Step 6: Final answer
    x = 54,464.66

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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.