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Finding the Fourth Proportional to 48,386.68, 72,564.66 and 15,547

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Solution

The fourth proportional to 48,386.68, 72,564.66 and 15,547 is: 23,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386.68 : 72,564.66 = 15,547 : x
  2. Step 2: Convert to fraction form
    48,386.68/72,564.66 = 15,547/x
  3. Step 3: Cross multiply
    48,386.68x = 72,564.66 × 15,547
  4. Step 4: Simplify right side
    48,386.68x = 1,128,162,769.02
  5. Step 5: Solve for x
    x = 1,128,162,769.02/48,386.68
  6. Step 6: Final answer
    x = 23,315.56

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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.