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Finding the Fourth Proportional to 32,774.95, 49,167.29 and 10,580.95

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Solution

The fourth proportional to 32,774.95, 49,167.29 and 10,580.95 is: 15,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.95 : 49,167.29 = 10,580.95 : x
  2. Step 2: Convert to fraction form
    32,774.95/49,167.29 = 10,580.95/x
  3. Step 3: Cross multiply
    32,774.95x = 49,167.29 × 10,580.95
  4. Step 4: Simplify right side
    32,774.95x = 520,236,637.13
  5. Step 5: Solve for x
    x = 520,236,637.13/32,774.95
  6. Step 6: Final answer
    x = 15,873.00

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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.