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Finding the Fourth Proportional to 70,582.16, 97,392.84 and 38,752.40

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Solution

The fourth proportional to 70,582.16, 97,392.84 and 38,752.40 is: 53,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.16 : 97,392.84 = 38,752.40 : x
  2. Step 2: Convert to fraction form
    70,582.16/97,392.84 = 38,752.40/x
  3. Step 3: Cross multiply
    70,582.16x = 97,392.84 × 38,752.40
  4. Step 4: Simplify right side
    70,582.16x = 3,774,206,292.82
  5. Step 5: Solve for x
    x = 3,774,206,292.82/70,582.16
  6. Step 6: Final answer
    x = 53,472.52

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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.