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Finding the Fourth Proportional to 57,798.55, 86,699.62 and 15,678.47

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Solution

The fourth proportional to 57,798.55, 86,699.62 and 15,678.47 is: 23,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798.55 : 86,699.62 = 15,678.47 : x
  2. Step 2: Convert to fraction form
    57,798.55/86,699.62 = 15,678.47/x
  3. Step 3: Cross multiply
    57,798.55x = 86,699.62 × 15,678.47
  4. Step 4: Simplify right side
    57,798.55x = 1,359,316,918.49
  5. Step 5: Solve for x
    x = 1,359,316,918.49/57,798.55
  6. Step 6: Final answer
    x = 23,518.18

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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.