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Finding the Fourth Proportional to 86,817.60, 130,312.80 and 42,494.40

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Solution

The fourth proportional to 86,817.60, 130,312.80 and 42,494.40 is: 63,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817.60 : 130,312.80 = 42,494.40 : x
  2. Step 2: Convert to fraction form
    86,817.60/130,312.80 = 42,494.40/x
  3. Step 3: Cross multiply
    86,817.60x = 130,312.80 × 42,494.40
  4. Step 4: Simplify right side
    86,817.60x = 5,537,564,248.32
  5. Step 5: Solve for x
    x = 5,537,564,248.32/86,817.60
  6. Step 6: Final answer
    x = 63,783.89

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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.