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Finding the Fourth Proportional to 65,218.10, 97,848.14 and 29,692.13

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Solution

The fourth proportional to 65,218.10, 97,848.14 and 29,692.13 is: 44,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.10 : 97,848.14 = 29,692.13 : x
  2. Step 2: Convert to fraction form
    65,218.10/97,848.14 = 29,692.13/x
  3. Step 3: Cross multiply
    65,218.10x = 97,848.14 × 29,692.13
  4. Step 4: Simplify right side
    65,218.10x = 2,905,319,693.14
  5. Step 5: Solve for x
    x = 2,905,319,693.14/65,218.10
  6. Step 6: Final answer
    x = 44,547.75

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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.