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Finding the Fourth Proportional to 59,752.64, 82,457.95 and 32,894.61

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Solution

The fourth proportional to 59,752.64, 82,457.95 and 32,894.61 is: 45,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,752.64 : 82,457.95 = 32,894.61 : x
  2. Step 2: Convert to fraction form
    59,752.64/82,457.95 = 32,894.61/x
  3. Step 3: Cross multiply
    59,752.64x = 82,457.95 × 32,894.61
  4. Step 4: Simplify right side
    59,752.64x = 2,712,421,776.87
  5. Step 5: Solve for x
    x = 2,712,421,776.87/59,752.64
  6. Step 6: Final answer
    x = 45,394.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.