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Finding the Fourth Proportional to 102,117.60, 153,176.40 and 31,987.80

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Solution

The fourth proportional to 102,117.60, 153,176.40 and 31,987.80 is: 47,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.60 : 153,176.40 = 31,987.80 : x
  2. Step 2: Convert to fraction form
    102,117.60/153,176.40 = 31,987.80/x
  3. Step 3: Cross multiply
    102,117.60x = 153,176.40 × 31,987.80
  4. Step 4: Simplify right side
    102,117.60x = 4,899,776,047.92
  5. Step 5: Solve for x
    x = 4,899,776,047.92/102,117.60
  6. Step 6: Final answer
    x = 47,981.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.