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Finding the Fourth Proportional to 32,424.08, 48,642.03 and 15,784.16

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Solution

The fourth proportional to 32,424.08, 48,642.03 and 15,784.16 is: 23,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.08 : 48,642.03 = 15,784.16 : x
  2. Step 2: Convert to fraction form
    32,424.08/48,642.03 = 15,784.16/x
  3. Step 3: Cross multiply
    32,424.08x = 48,642.03 × 15,784.16
  4. Step 4: Simplify right side
    32,424.08x = 767,773,341.03
  5. Step 5: Solve for x
    x = 767,773,341.03/32,424.08
  6. Step 6: Final answer
    x = 23,679.11

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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.