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Finding the Fourth Proportional to 81,875, 112,987.50 and 46,547

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Solution

The fourth proportional to 81,875, 112,987.50 and 46,547 is: 64,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875 : 112,987.50 = 46,547 : x
  2. Step 2: Convert to fraction form
    81,875/112,987.50 = 46,547/x
  3. Step 3: Cross multiply
    81,875x = 112,987.50 × 46,547
  4. Step 4: Simplify right side
    81,875x = 5,259,229,162.50
  5. Step 5: Solve for x
    x = 5,259,229,162.50/81,875
  6. Step 6: Final answer
    x = 64,234.86

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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.