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Finding the Fourth Proportional to 97,859.38, 134,996.54 and 57,547.48

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Solution

The fourth proportional to 97,859.38, 134,996.54 and 57,547.48 is: 79,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,859.38 : 134,996.54 = 57,547.48 : x
  2. Step 2: Convert to fraction form
    97,859.38/134,996.54 = 57,547.48/x
  3. Step 3: Cross multiply
    97,859.38x = 134,996.54 × 57,547.48
  4. Step 4: Simplify right side
    97,859.38x = 7,768,710,685.72
  5. Step 5: Solve for x
    x = 7,768,710,685.72/97,859.38
  6. Step 6: Final answer
    x = 79,386.47

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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.