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Finding the Fourth Proportional to 112,788, 169,184.70 and 37,909.08

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Solution

The fourth proportional to 112,788, 169,184.70 and 37,909.08 is: 56,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,788 : 169,184.70 = 37,909.08 : x
  2. Step 2: Convert to fraction form
    112,788/169,184.70 = 37,909.08/x
  3. Step 3: Cross multiply
    112,788x = 169,184.70 × 37,909.08
  4. Step 4: Simplify right side
    112,788x = 6,413,636,327.08
  5. Step 5: Solve for x
    x = 6,413,636,327.08/112,788
  6. Step 6: Final answer
    x = 56,864.53

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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.