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Finding the Fourth Proportional to 88,048.38, 121,506.36 and 47,762.16

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Solution

The fourth proportional to 88,048.38, 121,506.36 and 47,762.16 is: 65,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,048.38 : 121,506.36 = 47,762.16 : x
  2. Step 2: Convert to fraction form
    88,048.38/121,506.36 = 47,762.16/x
  3. Step 3: Cross multiply
    88,048.38x = 121,506.36 × 47,762.16
  4. Step 4: Simplify right side
    88,048.38x = 5,803,406,207.34
  5. Step 5: Solve for x
    x = 5,803,406,207.34/88,048.38
  6. Step 6: Final answer
    x = 65,911.56

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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.