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Finding the Fourth Proportional to 46,995.66, 64,854.90 and 25,776

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Solution

The fourth proportional to 46,995.66, 64,854.90 and 25,776 is: 35,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,995.66 : 64,854.90 = 25,776 : x
  2. Step 2: Convert to fraction form
    46,995.66/64,854.90 = 25,776/x
  3. Step 3: Cross multiply
    46,995.66x = 64,854.90 × 25,776
  4. Step 4: Simplify right side
    46,995.66x = 1,671,699,902.40
  5. Step 5: Solve for x
    x = 1,671,699,902.40/46,995.66
  6. Step 6: Final answer
    x = 35,571.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.