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Finding the Fourth Proportional to 45,602.60, 62,931.54 and 27,692.84

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Solution

The fourth proportional to 45,602.60, 62,931.54 and 27,692.84 is: 38,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,602.60 : 62,931.54 = 27,692.84 : x
  2. Step 2: Convert to fraction form
    45,602.60/62,931.54 = 27,692.84/x
  3. Step 3: Cross multiply
    45,602.60x = 62,931.54 × 27,692.84
  4. Step 4: Simplify right side
    45,602.60x = 1,742,753,068.17
  5. Step 5: Solve for x
    x = 1,742,753,068.17/45,602.60
  6. Step 6: Final answer
    x = 38,216.09

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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.