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Finding the Fourth Proportional to 46,547.76, 64,233.98 and 25,327.12

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Solution

The fourth proportional to 46,547.76, 64,233.98 and 25,327.12 is: 34,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,547.76 : 64,233.98 = 25,327.12 : x
  2. Step 2: Convert to fraction form
    46,547.76/64,233.98 = 25,327.12/x
  3. Step 3: Cross multiply
    46,547.76x = 64,233.98 × 25,327.12
  4. Step 4: Simplify right side
    46,547.76x = 1,626,861,719.54
  5. Step 5: Solve for x
    x = 1,626,861,719.54/46,547.76
  6. Step 6: Final answer
    x = 34,950.38

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Why These Related Problems?

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