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Finding the Fourth Proportional to 32,053.65, 48,085.70 and 9,867.03

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Solution

The fourth proportional to 32,053.65, 48,085.70 and 9,867.03 is: 14,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.65 : 48,085.70 = 9,867.03 : x
  2. Step 2: Convert to fraction form
    32,053.65/48,085.70 = 9,867.03/x
  3. Step 3: Cross multiply
    32,053.65x = 48,085.70 × 9,867.03
  4. Step 4: Simplify right side
    32,053.65x = 474,463,044.47
  5. Step 5: Solve for x
    x = 474,463,044.47/32,053.65
  6. Step 6: Final answer
    x = 14,802.15

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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.