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Finding the Fourth Proportional to 42,877.81, 64,306.32 and 17,904.30

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Solution

The fourth proportional to 42,877.81, 64,306.32 and 17,904.30 is: 26,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,877.81 : 64,306.32 = 17,904.30 : x
  2. Step 2: Convert to fraction form
    42,877.81/64,306.32 = 17,904.30/x
  3. Step 3: Cross multiply
    42,877.81x = 64,306.32 × 17,904.30
  4. Step 4: Simplify right side
    42,877.81x = 1,151,359,645.18
  5. Step 5: Solve for x
    x = 1,151,359,645.18/42,877.81
  6. Step 6: Final answer
    x = 26,852.11

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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.