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Finding the Fourth Proportional to 70,595.08, 97,407.84 and 47,952.16

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Solution

The fourth proportional to 70,595.08, 97,407.84 and 47,952.16 is: 66,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595.08 : 97,407.84 = 47,952.16 : x
  2. Step 2: Convert to fraction form
    70,595.08/97,407.84 = 47,952.16/x
  3. Step 3: Cross multiply
    70,595.08x = 97,407.84 × 47,952.16
  4. Step 4: Simplify right side
    70,595.08x = 4,670,916,328.93
  5. Step 5: Solve for x
    x = 4,670,916,328.93/70,595.08
  6. Step 6: Final answer
    x = 66,164.90

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1.5x scale

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.