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Finding the Fourth Proportional to 78,051.07, 117,093 and 31,303.95

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Solution

The fourth proportional to 78,051.07, 117,093 and 31,303.95 is: 46,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.07 : 117,093 = 31,303.95 : x
  2. Step 2: Convert to fraction form
    78,051.07/117,093 = 31,303.95/x
  3. Step 3: Cross multiply
    78,051.07x = 117,093 × 31,303.95
  4. Step 4: Simplify right side
    78,051.07x = 3,665,473,417.35
  5. Step 5: Solve for x
    x = 3,665,473,417.35/78,051.07
  6. Step 6: Final answer
    x = 46,962.50

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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.