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Finding the Fourth Proportional to 91,924.79, 137,870.77 and 24,457.21

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Solution

The fourth proportional to 91,924.79, 137,870.77 and 24,457.21 is: 36,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,924.79 : 137,870.77 = 24,457.21 : x
  2. Step 2: Convert to fraction form
    91,924.79/137,870.77 = 24,457.21/x
  3. Step 3: Cross multiply
    91,924.79x = 137,870.77 × 24,457.21
  4. Step 4: Simplify right side
    91,924.79x = 3,371,934,313.61
  5. Step 5: Solve for x
    x = 3,371,934,313.61/91,924.79
  6. Step 6: Final answer
    x = 36,681.45

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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.