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Finding the Fourth Proportional to 32,970.49, 45,498.91 and 17,862.77

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Solution

The fourth proportional to 32,970.49, 45,498.91 and 17,862.77 is: 24,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.49 : 45,498.91 = 17,862.77 : x
  2. Step 2: Convert to fraction form
    32,970.49/45,498.91 = 17,862.77/x
  3. Step 3: Cross multiply
    32,970.49x = 45,498.91 × 17,862.77
  4. Step 4: Simplify right side
    32,970.49x = 812,736,564.58
  5. Step 5: Solve for x
    x = 812,736,564.58/32,970.49
  6. Step 6: Final answer
    x = 24,650.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.