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Finding the Fourth Proportional to 232,521.47, 348,784.10 and 64,051.09

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Solution

The fourth proportional to 232,521.47, 348,784.10 and 64,051.09 is: 96,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,521.47 : 348,784.10 = 64,051.09 : x
  2. Step 2: Convert to fraction form
    232,521.47/348,784.10 = 64,051.09/x
  3. Step 3: Cross multiply
    232,521.47x = 348,784.10 × 64,051.09
  4. Step 4: Simplify right side
    232,521.47x = 22,340,000,827.64
  5. Step 5: Solve for x
    x = 22,340,000,827.64/232,521.47
  6. Step 6: Final answer
    x = 96,077.15

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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.