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Finding the Fourth Proportional to 30,937.95, 46,407.65 and 7,564.59

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Solution

The fourth proportional to 30,937.95, 46,407.65 and 7,564.59 is: 11,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.95 : 46,407.65 = 7,564.59 : x
  2. Step 2: Convert to fraction form
    30,937.95/46,407.65 = 7,564.59/x
  3. Step 3: Cross multiply
    30,937.95x = 46,407.65 × 7,564.59
  4. Step 4: Simplify right side
    30,937.95x = 351,054,807.29
  5. Step 5: Solve for x
    x = 351,054,807.29/30,937.95
  6. Step 6: Final answer
    x = 11,347.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.