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Finding the Fourth Proportional to 70,854.08, 97,805.16 and 46,988.80

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Solution

The fourth proportional to 70,854.08, 97,805.16 and 46,988.80 is: 64,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.08 : 97,805.16 = 46,988.80 : x
  2. Step 2: Convert to fraction form
    70,854.08/97,805.16 = 46,988.80/x
  3. Step 3: Cross multiply
    70,854.08x = 97,805.16 × 46,988.80
  4. Step 4: Simplify right side
    70,854.08x = 4,595,747,102.21
  5. Step 5: Solve for x
    x = 4,595,747,102.21/70,854.08
  6. Step 6: Final answer
    x = 64,862.14

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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.