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Finding the Fourth Proportional to 32,005.80, 48,001.02 and 16,415.40

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Solution

The fourth proportional to 32,005.80, 48,001.02 and 16,415.40 is: 24,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.80 : 48,001.02 = 16,415.40 : x
  2. Step 2: Convert to fraction form
    32,005.80/48,001.02 = 16,415.40/x
  3. Step 3: Cross multiply
    32,005.80x = 48,001.02 × 16,415.40
  4. Step 4: Simplify right side
    32,005.80x = 787,955,943.71
  5. Step 5: Solve for x
    x = 787,955,943.71/32,005.80
  6. Step 6: Final answer
    x = 24,619.16

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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.