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Finding the Fourth Proportional to 70,475, 97,254.80 and 38,643.84

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Solution

The fourth proportional to 70,475, 97,254.80 and 38,643.84 is: 53,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475 : 97,254.80 = 38,643.84 : x
  2. Step 2: Convert to fraction form
    70,475/97,254.80 = 38,643.84/x
  3. Step 3: Cross multiply
    70,475x = 97,254.80 × 38,643.84
  4. Step 4: Simplify right side
    70,475x = 3,758,298,930.43
  5. Step 5: Solve for x
    x = 3,758,298,930.43/70,475
  6. Step 6: Final answer
    x = 53,328.12

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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.