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Finding the Fourth Proportional to 32,875.60, 49,345.80 and 16,254.40

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Solution

The fourth proportional to 32,875.60, 49,345.80 and 16,254.40 is: 24,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.60 : 49,345.80 = 16,254.40 : x
  2. Step 2: Convert to fraction form
    32,875.60/49,345.80 = 16,254.40/x
  3. Step 3: Cross multiply
    32,875.60x = 49,345.80 × 16,254.40
  4. Step 4: Simplify right side
    32,875.60x = 802,086,371.52
  5. Step 5: Solve for x
    x = 802,086,371.52/32,875.60
  6. Step 6: Final answer
    x = 24,397.62

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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.