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Finding the Fourth Proportional to 101,386.60, 152,068.06 and 31,259.88

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Solution

The fourth proportional to 101,386.60, 152,068.06 and 31,259.88 is: 46,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,386.60 : 152,068.06 = 31,259.88 : x
  2. Step 2: Convert to fraction form
    101,386.60/152,068.06 = 31,259.88/x
  3. Step 3: Cross multiply
    101,386.60x = 152,068.06 × 31,259.88
  4. Step 4: Simplify right side
    101,386.60x = 4,753,629,307.43
  5. Step 5: Solve for x
    x = 4,753,629,307.43/101,386.60
  6. Step 6: Final answer
    x = 46,886.17

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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.