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Finding the Fourth Proportional to 105,335.53, 145,363 and 57,588.87

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Solution

The fourth proportional to 105,335.53, 145,363 and 57,588.87 is: 79,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,335.53 : 145,363 = 57,588.87 : x
  2. Step 2: Convert to fraction form
    105,335.53/145,363 = 57,588.87/x
  3. Step 3: Cross multiply
    105,335.53x = 145,363 × 57,588.87
  4. Step 4: Simplify right side
    105,335.53x = 8,371,290,909.81
  5. Step 5: Solve for x
    x = 8,371,290,909.81/105,335.53
  6. Step 6: Final answer
    x = 79,472.62

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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.